What is the combined volume of the figures below rounded to the nearest whole number?

Question

asked Jun 22, 2024 94.5k views

1 Answer

JamesRat · Answer 1 · 2024-06-27T18:11:53+0000

Hello !

Answer:

$\boxed{\sf \to V\approx 170cm^3}$

Explanation:

To find the volume of a sphere with its radius, we will apply the following formula:

$\sf V_(sphere)=(4*\pi* r^3)/(3)$

Where r is the radius of the sphere.

Given :

Let's substitute our value into the formula:

$\sf V_(sphere)=(4*\pi* 3^3)/(3)\\V_(sphere)=36\pi\\\boxed{\sf V_(sphere)\approx 113.1cm^3}$

To find the volume of a cone with the radius of its base and its height, we will apply the following formula:

$\sf V{cone} = (\pi * r^2 * h)/(3)$

Where r is the radius of its base and h is its height.

Given :

Let's substitute our values into the formula:

$\sf V_(cone)=(\pi* 3^2 * 6)/(3)\\V_(cone)=18\pi\\\boxed{\sf V_(cone) \approx 56.55cm^3}$

The combined volume of the two figures is the sum of the two volumes.

$\sf V = V_(cone) + V_(sphere)\\V\approx 113.1+56.55\\V\approx169.65cm^3\\\boxed{\sf V\approx170cm^3}$

Have a nice day ;)