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 =

Both A and R are true and R is the correct explanation of A.

Both A and R are true and R is not correct explanation of A.

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 = and its surface area = 4πr 2 .

Both A and R are true and R is the correct explanation of A.

Both A and R are true and R is not correct explanation of A.

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 =

Both A and R are true and R is the correct explanation of A.

Both A and R are true and R is not correct explanation of A.

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 S 3 = 36πV 2 .

Both A and R are true and R is the correct explanation of A.

Both A and R are true and R is not correct explanation of A.

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 cm 3 . Reason (R): Volume of cone = and volume of hemi-sphere =

Both A and R are true and R is the correct explanation of A.

Both A and R are true and R is not correct explanation of A.

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)

Both A and R are true and R is the correct explanation of A.

Both A and R are true and R is not correct explanation of A.

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 = πr 2 h, r is the radius of the cylinder and h is the height of the cylinder.

Both A and R are true and R is the correct explanation of A.

Both A and R are true and R is not correct explanation of A.

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 cm 2 . Reason (R): Slant height =

Both A and R are true and R is the correct explanation of A.

Both A and R are true and R is not correct explanation of A.

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

Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

Assertion (A) is true but reason (R) is false.

Assertion (A) is false but reason (R) is true.

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 =

Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

Assertion (A) is true but reason (R) is false.

Assertion (A) is false but reason (R) is true.

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.

Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

Assertion (A) is true but reason (R) is false.

Assertion (A) is false but reason (R) is true.

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 221.76cm 2 , then its diameter is 8.4 cm. Reason : If the radius of the sphere be r , then surface area, S = 4p r 2 , i.e.

Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

Assertion (A) is true but reason (R) is false.

Assertion (A) is false but reason (R) is true.

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

Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

Assertion (A) is true but reason (R) is false.

Assertion (A) is false but reason (R) is true.

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

Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

Assertion (A) is true but reason (R) is false.

Assertion (A) is false but reason (R) is true.

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

Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

Assertion (A) is true but reason (R) is false.

Assertion (A) is false but reason (R) is true.

Assertion and Reason Test: Surface Area and Volumes Free MCQ Practice Test with Solutions

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