Question

An ice cream cone has a depth of 90 cm and a radius of 20 cm, respectively. The volume of the cone ice cream is.

• A. $4,000\pi c{m}^3$
• B. $10,000\pi c{m}^3$
• C. $3,000\pi c{m}^3$
• D. $12,000\pi c{m}^3$

Answer 1

The correct option is D $12,000\pi c{m}^3$

Let's draw the ice cream cone with the given dimensions:


Radius of the cone = r = 20 cm
Depth of the cone = h = 90 cm

We know,
$\text{Volume of a cone}=\frac{1}{3}\pi r^{2}h$

So, putting values we get:
$\text{Volume of the ice cream cone}=\frac{1}{3}\pi \times {20}^2\times 90$
$=\pi \times 400\times 30$
$=12,000\pi {\text{cm}}^3$