Question

The new dolphin tank at the aquarium has a radius of 75 feet and a height of 20 feet. What is the volume of the dolphin tank? Round to the nearest tenth. Use 3.14 for Pi.
9,420.0 cubic feet
88,312.5 cubic feet
94,200.0 cubic feet
353,250.0 cubic feet

Answer 1

To find the volume of a cylindrical tank, you can use the formula:

\[
V = \pi r^2 h
\]

where:
- \( V \) is the volume,
- \( r \) is the radius,
- \( h \) is the height,
- \( \pi \) is approximately 3.14.

Given:
- Radius \( r = 75 \) feet
- Height \( h = 20 \) feet

Now, substitute the values into the formula:

\[
V = 3.14 \times (75)^2 \times 20
\]

Calculate \( (75)^2 \):

\[
(75)^2 = 5625
\]

Now substitute this value back into the volume formula:

\[
V = 3.14 \times 5625 \times 20
\]

Now calculate \( 5625 \times 20 \):

\[
5625 \times 20 = 112500
\]

Now substitute this back into the formula:

\[
V = 3.14 \times 112500
\]

Now perform the multiplication:

\[
V = 353250
\]

Therefore, the volume of the dolphin tank is:

\[
\boxed{353250.0} \text{ cubic feet}
\]