Question

What is the volume of a sphere of radius 3√2 cm?

• A. 73√2∏cm³
• B. 71√2∏cm³
• C. 70√2∏cm³
• D. 72√2∏cm³

Answer 1

Answer:

D. 72√2∏cm³

Given ( r = 3\sqrt{2} ) cm

$r^3 = (3\sqrt{2})^3 = 27 \times 2\sqrt{2} = 54\sqrt{2}$

Now,
$V = \frac{4}{3} \pi \times 54\sqrt{2}$
$= 72\pi\sqrt{2}$

Answer: $( 72\pi\sqrt{2} \text{cm}^3 )$