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Find the volume and surface area of a sphere of radius $4.2$ cm respectively. $[π = \frac{22}{7}]$

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380.46 {cm}^{3}, 221.76 {cm}^{2}

320.46 {cm}^{3}, 221.76 {cm}^{2}

310.46 {cm}^{3}, 221.76 {cm}^{2}

370.46 {cm}^{3}, 221.76 {cm}^{2}

answer is C.

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Detailed Solution

Given, radius of sphere

= 4.2

cm.
The formula for the volume of sphere is given by,
Volume of a sphere

= \frac{4}{3} π r^{3}

, where

r

is the radius.
So, to determine the volume of sphere substitute the values.

⇒ 43 × 227 × 4.2 × 4.2 × 4.2 ⇒ 310.46 c m 3

Surface area of a sphere of radius '

r

= 4 π r^{2}

⇒ 4 × 227 × 4.2 × 4.2 ⇒ 221.76 c m 2

Therefore, the volume and surface area of a sphere are respectively

310.46 {cm}^{3}

and

221.76 {cm}^{2}

.
Hence, option (3) is correct.

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