Question

The volume of a sphere is $1150.35{in}^3$. Find its radius. (Round off your answer to the nearest whole number).

• A. $2$ in
• B. $5$ in
• C. $8$ in
• D. $7$ in

Answer 1

Answer: (D)

$7$ in

Formula:

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

where,

$r=radius$

Given:

$volume=1150.35i{n}^3$

After substituting the values in the formula we get:

$1150.35=\frac{4}{3}\pi r^3$

$\Rightarrow 1150.35=\frac{4}{3}\ast 3.14\ast r^3$

$\Rightarrow \frac{1150.35\ast 3}{4\ast 3.14}=r^3$

$\Rightarrow r^3=\frac{3451.05}{12.56}$

$\Rightarrow r^3=274.76$

$\Rightarrow r=\sqrt[3]{3274.76}$

$\Rightarrow r=6.50\approx 7in$