Question 63

What is the volume of the sphere whose diameter is 42 cm?(Take $$\pi = \frac{22}{7}$$)

Solution

Diameter of the sphere = 42 cm

radius of the sphere = $$\frac{42}{2}$$ = 21 cm

volume of the sphere = $$\frac{4}{3}\times\ \pi\ \times\ \left(radius\right)^3$$

= $$\frac{4}{3}\times\frac{22}{7}\ \times\ \left(21\right)^3$$

= $$\frac{88}{21}\ \times\ \left(21\right)^3$$

= $$88\ \times\ \left(21\right)^2$$

= $$88\ \times\ 441$$

= 38808 $$cm^3$$


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