If the surface area of a sphere is 1386 cm2, then its volume is:
(Take π = \(\frac {22} 7\))
1. 5418 cm3
2. 8451 cm3
3. 4851 cm3
4. 4581 cm3
If the surface area of a sphere is 1386 cm2, then its volume is:
(Take π = \(\frac {22} 7\))
1. 5418 cm3
2. 8451 cm3
3. 4851 cm3
4. 4581 cm3
1. 5418 cm3
2. 8451 cm3
3. 4851 cm3
4. 4581 cm3
Correct Answer – Option 3 : 4851 cm3
Given:
The surface area of the sphere = 1386 cm2
Formula used:
Surface area of a sphere = 4πr2
Volume of a sphere = (4/3)πr3
Calculations:
Surface area of a sphere = 4πr2
⇒ 4πr2 = 1386
⇒ 4 × (22/7) × r2 = 1386
⇒ r = 21/2 cm
Volume of a sphere = (4/3)πr3
⇒ (4/3) × (22/7) × (21/2)3
⇒ 4851 cm3
∴ The volume of the sphere is 4851 cm3.