Surface area of Combination of solids

Q.

The largest sphere is carved out of a cube of a side 7 cm. Find the volume of the sphere. (Approximate value)

1. $180c{m}^3$

2. $160c{m}^3$

3. $90c{m}^3$

4. $80c{m}^3$

Q. A solid metallic cone of radius 12 cm and height 48 cm was recast into a sphere. Radius of the sphere is

1. 24 cm
2. 12 cm
3. 74 cm
4. 15 cm

Q.

Question 12
How many spherical lead shots of diameter 4 cm can be made out of a solid cube of lead whose edge measures 44 cm

Q.

Question 9
A metallic spherical shell of internal and external diameters 4 cm and 8 cm, respectively is melted and recast into the form of a cone of base diameter 8cm. Find the height of the cone.
(A) 12 cm
(B) 14 cm
(C) 15 cm
(D) 18 cm

Q. A solid metallic sphere of diameter 21 cm is melted and recast into a number of smaller cones, of diameter 3.5 cm and height 3cm. The number of cones so formed is:

1. 405
2. 540
3. 504
4. 254

Q. The largest sphere is cut off from a cube of side $5cm$. The volume of the sphere will be

1. $27\pi {cm}^3$
2. $30\pi {cm}^3$
3. $108\pi {cm}^3$
4. $\frac{125\pi }{6}{cm}^3$

Q. The largest sphere is carved out of a cube of side $7cm$. Find the volume of the sphere.

1. $152.74{cm}^3$
2. $243.41{cm}^3$
3. $179.67{cm}^3$
4. $195.01{cm}^3$

Q. A gulab jamun contains sugar syrup up to about 30$\%$ of its volume. Find approximately how much syrup would be found in 45 gulab jamuns, each shaped like a cylinder with two hemispherical ends with length 5 cm and diameter 2.8 cm.

Q. The largest sphere is carved out of a cube of a side 7 cm. Find the volume of the sphere. (Approximate value)

1. $180c{m}^3$
2. $160c{m}^3$
3. $90c{m}^3$
4. $80c{m}^3$

Q. The largest sphere is carved out of a cube of a side 7 cm. Find the volume of the sphere. (Approximate value)

1. $180c{m}^3$
2. $160c{m}^3$
3. $90c{m}^3$
4. $80c{m}^3$

Q.

A solid metallic sphere of diameter $21\mathrm{cm}$ is melted and recasted into a number of smaller cones, each of diameter $7\mathrm{cm}$ and height $3\mathrm{cm}$. Find the number of cones so formed.

Q. Calculate the approximate edge length of a cube having the same volume as a sphere of radius $5$cm.

1. $5.00$
2. $5.50$
3. $8.06$
4. $6.24$

Q. A solid metallic sphere of diameter 21 cm is melted and recast into a number of smaller cones, of diameter 3.5 cm and height 3cm. The number of cones so formed is:

1. 405
2. 540
3. 504
4. 254

Q. If we melt a solid sphere of radius 10 cm and mould it into 8 spherical solid balls of equal radii, the radius of each ball is ___ cm.

1. 5
2. 3
3. 4
4. 2

Q. The largest sphere is carved out of a cube of a side 7 cm. Find the volume of the sphere. (Approximate value)

1. $180c{m}^3$
2. $160c{m}^3$
3. $80c{m}^3$
4. $90c{m}^3$

Q.

The largest sphere is to be curved out of a cylinder of a radius 7 cm and height 14cm. Find the volume of the sphere.

Q. What is the ratio of volumes of two spheres if the ratio of their radii is 2:3?

1. 5:3
2. 3:4
3. 4:3
4. 8:27