Spheres

Q.

A cube is cut into x smaller cubes each of volume 8$c{m}^3$. If volume of the entire cube is 512 $c{m}^3$, then find the value of 'x'.

1. 16

2. 96

3. 64

4. 32

Q.

The lateral surface area of a right circular cone of height 28 cm and base radius 21 cm is:

1. 1055 $c{m}^2$

2. 1155 $c{m}^2$

3. 2110 $c{m}^2$

4. 2310 $c{m}^2$

Q.

The area of one face of a cube is $100m^2$. Find the volume of the cube.

1. 3000 $m^3$

2. 2000 $m^3$

3. 1000 $m^3$

4. 500 $m^3$

Q.

Hanumappa and his wife Gangamma are busy making jaggery out of sugarcane juice. They have processed the sugarcane juice to make the molasses, which is poured into moulds in the shape of a frustum of a cone having the diameters of its two circular faces as 30 cm and 35 cm and the vertical height of the mould is 14 cm (see Fig.). If each $c{m}^3$ of molasses has a mass of about 1.2 g, find the mass of the molasses that can be poured into each mould( in kg). (Take $\pi$ = $\frac{22}{7}$)

1. 10

2. 14

3. 12

4. 16

Q.

Match the following labels to their corresponding shapes.

$$\begin{array}{cc}\left(i\right)A& \left(a\right)Cylinder\\ \left(ii\right)B& \left(b\right)Frustum\\ \left(iii\right)C& \left(c\right)Cone\\ \left(iv\right)D& \left(d\right)Cuboid\end{array}$$

1. (i)-(c) , (ii)-(b) , (iii)-(b) , (iv)-(a)

2. (i)-(b) , (ii)-(c) , (iii)-(c) , (iv)- (d)

3. (i)-(c) , (ii)-(b) , (iii)-(b) , (iv)-(d)

4. (i)-(b) , (ii)-(c) , (iii)-(d) , (iv)-(a)

Q.

Ram has a semicircular disc. He rotates it about its diameter by 360 degrees. When he rotates the disc, a volume of air in his room gets swept. What is the name of the object/shape that exactly occupies this volume?

1. Sphere

2. Cone

3. Hemisphere

4. Cylinder

Q.

Ram has a semicircular disc. He rotates it about its diameter by 360 degrees. When he rotates the disc, a volume of air in his room gets swept.The name of the object/shape that exactly occupies this volume is

___.

Q.

How many points do three parallel lines intersect at?

1. Three

2. Two

3. One

4. Zero

Q. A square pyramid has __ triangular faces.

1. 3
2. 2
3. 4
4. 0

Q. The vertical cross section of a cylinder is a

1. Circle
2. Rectangle
3. Triangle