Question

Find the volume of a sphere of radius given below:

• A. $1,706.25{ft}^3$
• B. $1,766.15{ft}^3$
• C. $1,866.25{ft}^3$
• D. $1,766.25{ft}^3$

Answer 1

Answer: (D)

$1,766.25{ft}^3$

Using formula volume of sphere =$\frac{4}{3}\pi r^3$

$r=radius$

Given: $radius\left(r\right)=7.5ft$

$\Rightarrow \frac{4}{3}\pi r^3=\frac{4}{3}\times 3.14\times {7.5}^3$

$=\frac{4}{3}\times 7.5\times 7.5\times 7.5\times 3.14$

$=\frac{4}{3}\times 421.875\times 3.14$

$=\frac{5298.75}{3}$

$=1766.25f{t}^3$