**Q1. What will be the surface area of the sphere having 4 cm radius?**

(a) 64 π sq cm

(b) 69 π sq cm

(c) 32 π sq cm

(d) 35 π sq cm

**Q2. What is the diameter of the largest circle lying on the surface of a sphere of surface area 616 sq cm?**

(a) 14 cm

(b) 10.5 cm

(c) 7 cm

(d) 3.5 cm

**Q3. The diameter of the Moon is approximately one-fourth of the diameter of the Earth. What is the ratio (approximate) of their volumes?**

(a) 4 : 16

(b) 1 : 64

(c) 1 : 4

(d) 1 : 128

**Q4. A sphere and a hemisphere have the same surface area. The ratio of their volumes is :**

(a) √3/4 ∶1

(b) (3√3)/4 ∶1

(c) √3/8 ∶1

(d) none of these

**Q5. A hemisphere has 3 cm radius. Calculate its volume. **

(a) 4/3 π cm^3

(b) 13 π cm^3

(c) 18 π cm^3

(d) 19/π cm^3

**Q6. A hemispherical bowl has 3.5 cm radius. It is to be painted inside as well as outside. Find the cost of painting it at the rate of Rs. 5 per 10 sq cm. **

(a) Rs. 50

(b) Rs. 81

(c) Rs. 56

(d) Rs. 77

**Q7. If the surface area of a sphere is 616 sq cm, what is its volume?**

(a) 4312/3 cm^3

(b) 4102/3 cm^3

(c) 1257 cm^3

(d) 1023 cm^3

**Q8. If the ratio of the diameters of two spheres is 3 : 5, then what is the ratio of their surface areas?**

(a) 9 : 25

(b) 9 : 10

(c) 3 : 5

(d) 27 : 125

**Q9. If 64 identical small spheres are made out of a big sphere of diameter 8 cm, what is surface area of each small sphere? **

(a) π cm^2

(b) 2 π cm^2

(c) 4 π cm^2

(d) 8 π cm^2

**Q10. A hemisphere has 28 cm diameter. Find its curved surface area. **

(a) 1232 sq cm

(b) 1236 sq cm

(c) 1238 sq cm

(d) 1233 sq cm

**Q11. A metallic sphere of radius 12 cm is melted into three smaller spheres. If the radii of two smaller spheres are 6 cm and 8 cm, the radius of the third is: **

(a) 14 cm

(b) 16 cm

(c) 10 cm

(d) 12 cm

**Q12. If the radius of a sphere is increased by 3%, then what per cent increase takes place in surface area of the sphere?**

(a) 6.09%

(b) 7%

(c) 5.06%

(d) 9%

**Q13. If radius of a sphere is decreased by 24%, by what per cent does its surface area decrease?**

(a) 44%

(b) 49%

(c) 42.24%

(d) 46.2%

**Q14. If the radius of a sphere is increased by 100%, by what per cent does its volume increase? **

(a) 300%

(b) 900%

(c) 500%

(d) 700%

**Q15. Weight of a solid metallic sphere of radius 4 cm is 4 kg. The weight of a hollow sphere made with same metal, whose outer diameter is 16 cm and inner diameter is 12 cm, is **

(a) 20.5 kg

(b) 15.5 kg

(c) 16.5 kg

(d) 18.5 kg