Question

Omgggg please please please help me I really really really need help on this. Please can you guys help me solve this problem?

Answer 1

Answer:

The volume of the figure is: 60840$\pi ^3$, or approximately about 191037.6 ft^3.

Step-by-step explanation:

This 3D figure can be split into two separate figures, a half-sphere, and a cone.

Let's first try to find the volume of the half-sphere.

The formula for the volume of the half-sphere is $\frac{2}{3}\pi r^3$, so substituting 39 for r gives us a volume of 39546$\pi$ft^3, or about 124174.44 ft^3.

Next, let's find the volume of the cone. We see that the radius of the cone is once again 39 ft, and the height of the cone i s just 81-39, or 42 ft.

The volume of a cone is $(\pi r^2h)/3$, and substituting 39 for r and 42 for h, we obtain a result of 21294$\pi^3$, or about 66863.16

Thus, the final volume of the figure is: 60840$\pi ^3$, or approximately about 191037.6 ft^3