Question

# The largest sphere is carved out of a cube of side 10.5 cm. Find the volume of the sphere.

A
606.375cm3
B
66.3cm3
C
60.375cm3
D
66.375cm3

Solution

## The correct option is A $$606.375\,cm^{3}$$We have,Diameter of the largest sphere$$= 10.5 cm\Rightarrow 2r = 10.5 cm \Rightarrow r = 5.25\, cm$$$$\therefore$$ Volume of the sphere$$= \dfrac{4}{3} \times \dfrac{22}{7} \times \left ( 5.25 \right )^{3} \,cm^{3}$$$$= \dfrac{4}{3} \times \dfrac{22}{7} \times \left ( \dfrac{21}{4} \right )^{3} cm^{3} = 4 \times 22 \times \dfrac{21^2}{64} cm^3$$$$= \dfrac{11 \times 441}{ 8 } \,cm^3 = 606.375\, cm^3$$Mathematics

Suggest Corrections

0

Similar questions
View More

People also searched for
View More