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Class 10 Exam  >  Class 10 Notes  >  Mathematics (Maths) Class 10  >  Assertion & Reason Type Questions: Surface Area and Volumes

Class 10 Maths Chapter 12 Assertion and Reason Questions - Surface Area and Volumes

Q1:

Question for Assertion & Reason Type Questions: Surface Area and Volumes
Try yourself: Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion (A): The radii of two cone are in the ratio 2 : 3 and their volumes in the ratio 1 : 3. Then ratio of their heights is 3 : 2.

Reason (R): Volume of Cone = Class 10 Maths Chapter 12 Assertion and Reason Questions - Surface Area and Volumes

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Q2:

Question for Assertion & Reason Type Questions: Surface Area and Volumes
Try yourself: Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion (A): If the volume of two spheres are in the ratio 27 : 8. Then their surface area are in the ratio 3 : 2.

Reason (R): Volume of sphere = Class 10 Maths Chapter 12 Assertion and Reason Questions - Surface Area and Volumes and its surface area = 4πr2.

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Q3:

Question for Assertion & Reason Type Questions: Surface Area and Volumes
Try yourself: Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion (A): If the height of the cone is 24 cm and diameter of the base is 14 cm, then the slant height of the cone is 15 cm.

Reason (R): If r be the radius of the cone and h be the height of the cone, then slant height = Class 10 Maths Chapter 12 Assertion and Reason Questions - Surface Area and Volumes

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Q4:

Question for Assertion & Reason Type Questions: Surface Area and Volumes
Try yourself: Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion (A): The Volume and Surface Area of a sphere are related to each other by radius.

Reason (R): Relation between Surface Area S and Volume V is S3 = 36πV2.

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Q5:

Question for Assertion & Reason Type Questions: Surface Area and Volumes
Try yourself: Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion (A): A solid is in the form of a cone standing on a hemisphere with both their radii being equal to 1 cm and the height of the cone is equal to its radius. The volume of the solid is π cm3.

Reason (R): Volume of cone = Class 10 Maths Chapter 12 Assertion and Reason Questions - Surface Area and Volumes and volume of hemi-sphere = Class 10 Maths Chapter 12 Assertion and Reason Questions - Surface Area and Volumes

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Q6:

Question for Assertion & Reason Type Questions: Surface Area and Volumes
Try yourself: Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion (A): There are 1000 balls of diameter 0.6 cm which can be formed by melting a solid sphere of radius 3 cm.

Reason (R):Number of spherical balls = (Volume of Bigger solid sphere)/(Volume of 1 spherical ball)

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Q7:

Question for Assertion & Reason Type Questions: Surface Area and Volumes
Try yourself: Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion (A): A solid iron is in the form of a cuboid of dimensions 49 cm × 33 cm × 24 cm is melted to form a solid sphere. Then the radius of sphere will be 21 cm.

Reason (R): Volume of cylinder = πr2h, r is the radius of the cylinder and h is the height of the cylinder.

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Q8:

Question for Assertion & Reason Type Questions: Surface Area and Volumes
Try yourself: Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion (A): A manufacturer involved children in colouring playing top (Lattu) which is shaped like a cone surmounted by a hemisphere. The entire top is 5 cm in height and the diameter of the top is 3.5 cm. The area to be painted if 100 playing tops are given to him then will be 3955 cm2.

Reason (R): Slant height = Class 10 Maths Chapter 12 Assertion and Reason Questions - Surface Area and Volumes

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Q9:

Question for Assertion & Reason Type Questions: Surface Area and Volumes
Try yourself: DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion : Total surface area of the cylinder having radius of the base 14 cm and height 30 cm is 3872 cm2 .

Reason : If r be the radius and h be the height of the cylinder, then total surface area = (2prh +2pr2).

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Q10:

Question for Assertion & Reason Type Questions: Surface Area and Volumes
Try yourself: DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion : If the height of a cone is 24 cm and diameter of the base is 14 cm, then the slant height of the cone is 15 cm.

Reason : If r be the radius and h the slant height of the cone, then slant height = Class 10 Maths Chapter 12 Assertion and Reason Questions - Surface Area and Volumes

View Solution

Q11:

Question for Assertion & Reason Type Questions: Surface Area and Volumes
Try yourself: DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion : If the radius of a cone is halved and volume is not changed, then height remains same.

Reason : If the radius of a cone is halved and volume is not changed then height must become four times of the original height.

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Q12:

Question for Assertion & Reason Type Questions: Surface Area and Volumes
Try yourself: DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion : If a ball is in the shape of a sphere has a surface area of 221.76cm2 , then its diameter is 8.4 cm.

Reason : If the radius of the sphere be r , then surface area, S = 4p r2 , i.e. Class 10 Maths Chapter 12 Assertion and Reason Questions - Surface Area and Volumes

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Q13:

Question for Assertion & Reason Type Questions: Surface Area and Volumes
Try yourself: DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion : No. of spherical balls that can be made out of a solid cube of lead whose edge is 44 cm, each ball being 4 cm. in diameter, is 2541

Reason : Number of balls Class 10 Maths Chapter 12 Assertion and Reason Questions - Surface Area and Volumes

View Solution

Q14:

Question for Assertion & Reason Type Questions: Surface Area and Volumes
Try yourself: DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion : The slant height of the frustum of a cone is 5 cm and the difference between the radii of its two circular ends is 4 cm. Than the height of the frustum is 3 cm.

Reason : Slant height of the frustum of the cone is given by Class 10 Maths Chapter 12 Assertion and Reason Questions - Surface Area and Volumes

View Solution

Q15:

Question for Assertion & Reason Type Questions: Surface Area and Volumes
Try yourself: DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion : Two identical solid cube of side 5 cm are joined end to end. Then total surface area of the resulting cuboid is 300 cm2 .

Reason : Total surface area of a cuboid is 2(lb + bh + lh)

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Document Description: Assertion & Reason Type Questions: Surface Area and Volumes for Class 10 2024 is part of Mathematics (Maths) Class 10 preparation. The notes and questions for Assertion & Reason Type Questions: Surface Area and Volumes have been prepared according to the Class 10 exam syllabus. Information about Assertion & Reason Type Questions: Surface Area and Volumes covers topics like and Assertion & Reason Type Questions: Surface Area and Volumes Example, for Class 10 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Assertion & Reason Type Questions: Surface Area and Volumes.
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