Question

What is the diameter (in cm) of a sphere whose volume is 346.5 $c{m}^3$?

• A. 5.25
• B. 5.75
• C. 11.5
• D. 8.714

Answer 1

The correct option is D

8.714

$\frac{4}{3}$ $\pi$$r^3$ = 346.5

$r^3$ = 346.5 × $\frac{7}{22}$ × $\frac{3}{4}$

$r^3$ = 82.76

r = $\sqrt[3]{327.5625}=4.357$

r =4.357

Therefore the diameter, D = 2r = 2 × 4.357 = 8.714 cm