Question

The volume of sphere is $904.77{cm}^3$. Find its radius. (Round off your answer to the nearest whole number).

• A. $2$ cm
• B. $5$ cm
• C. $6$ cm
• D. $7$ cm

Answer 1

The correct option is C $6$ cm

Formula:

Volume of sphere$=\frac{4}{3}\pi r^3$

where,

$r=radius$

Given:

$volume=904.77c{m}^3$

After substituting the values in the formula we gte:

$904.77=\frac{4}{3}\pi r^3$

$\Rightarrow 904.77=\frac{4}{3}\times 3.14\times r^3$

$\Rightarrow \frac{904.77\times 3}{4\times 3.14}=r^3$

$\Rightarrow r^3=\frac{2714.31}{12.56}$

$\Rightarrow r^3=215.42\approx 216$

$\Rightarrow r=\sqrt[3]{3216}$

$\Rightarrow r=6cm$