Mensuration — 2D & 3D — Practice

Question 1

A rhombus has diagonals 16 cm and 30 cm. Its perimeter is

Accepted Answer

C

Question 2

If the radius of a circle is increased by 50%, its area increases by

Accepted Answer

C

Question 3

The curved surface area of a cone with radius 21 cm and height 28 cm is

Accepted Answer

A

Question 4

A solid metallic sphere of radius 12 cm is melted into small spheres of radius 3 cm each. The number of small spheres is

Accepted Answer

D

Question 5

A cone, a hemisphere and a cylinder stand on the same base and have the same height (equal to the radius). The ratio of their volumes is

Accepted Answer

A

Question 6

A copper wire bent into a square of side 33 cm is re-bent into a circle. The radius of the circle is

Accepted Answer

A

Question 7

A sphere of radius 6 cm is melted and drawn into a wire of radius 0.2 cm. The length of the wire is

Accepted Answer

B

Question 8

A bucket is a frustum with top radius 14 cm, bottom radius 7 cm and height 24 cm. Its slant height is

Accepted Answer

B

Question 9

The longest rod that can fit inside a cubical room of side 10 m has length

Accepted Answer

B

Question 10

The volume of a sphere is numerically equal to its surface area. Its diameter is

Accepted Answer

C

Question 11

A hemispherical tank of radius 6 m is full of water, emptied by a pipe at the rate of 12π m³ per hour. Time to empty it

Accepted Answer

C

Practice — Mensuration — 2D & 3D