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This mock test of Test: Frustum Of A Cone for Class 10 helps you for every Class 10 entrance exam.
This contains 10 Multiple Choice Questions for Class 10 Test: Frustum Of A Cone (mcq) to study with solutions a complete question bank.
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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

Solution:

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 cm^{3}

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

Solution:

QUESTION: 3

The radii of the ends of a frustum of a cone of height h cm are r_{1} cm and r_{2} cm. The volume in cm^{3} of the frustum of the cone is:

Solution:

QUESTION: 4

If the volume of a right circular cone of height 9 cm is 48 π cm^{3}, then find the diameter of its base.

Solution:

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

Solution:

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)

Solution:

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

Solution:

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 dm^{2} will be

Solution:

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

Solution:

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 cm^{3} 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

Solution:

### Frustum of a Cone

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