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Test: Frustum of A Cone - Class 10 MCQ


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Test: Frustum of A Cone - Question 1

The diameters of the top and bottom of a bucket are 40 cm and 20 cm respectively. If the depth of the bucket is 12 cm then its volume will be​

Detailed Solution for Test: Frustum of A Cone - Question 1

Volume = 1/3πh(R² + r² + R*r)

= 1/3*3.14*1.2*(2² + 1² + 2*1)

= 1/3*3.14*1.2*7

= 26.376/3

Volume = 8.792 cu dm ~= 8800 cm3

Test: Frustum of A Cone - Question 2

The circular ends of a bucket are of radii 35 cm and 14 cm and the height of the bucket is 40 cm, its volume is

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Test: Frustum of A Cone - Question 3

The radii of the ends of a frustum of a cone of height h cm are r1 cm and r2 cm. The volume in cm3 of the frustum of the cone is: 

Test: Frustum of A Cone - Question 4

If the volume of a right circular cone of height 9 cm is 48 π cm3, then find the diameter of its base. 

Test: Frustum of A Cone - Question 5

The radii of the circular ends of a conical curd container, 6 cm high are 16 cm and 24 cm. The volume of the container in litres will be​

Test: Frustum of A Cone - Question 6

A container (open at the top) made up of metal sheet is in the form of a frustum of a cone of height 16 cm with radii of its lower and upper ends 8cm and 20 cm respectively. The amount of liquid the container can hold is (Take π = 3.14)  ​

Test: Frustum of A Cone - Question 7

The slant height of the frustum of a cone is 6 cm and the perimeter of its circular ends are 20 cm and 8 cm. Its curved surface area is

Test: Frustum of A Cone - Question 8

A bucket of height 12 cm, has a top and bottom diameter of 40 cm and 20 cm respectively. The cost of tin sheet used for making the bucket at the rate of Rs. 1.20 per dm2 will be​

Test: Frustum of A Cone - Question 9

An open container made up of a metal sheet is in the form of a frustum of a cone of height 8 cm with radii of its lower and upper ends as 4 cm and 10 cm respectively. The cost of the oil at the rate of Rs. 50 per litre, which can completely fill the container, will be

Test: Frustum of A Cone - Question 10

Haneef is processing sugarcane juice to make molasses, which is poured into moulds in the shape of a frustum of a cone having the diameters of the two circular faces as 30 cm and 35 cm and the vertical height of the mould is 14 cm. If each cm3 of molasses has a mass of about 1.2 g then the mass of the molasses that can be poured into each mould will be about

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