Part 1 The main tank has a radius of 95 feet. What is the volume of the
quarter-sphere sized tank? Round your answer to the nearest whole number. You must explain
your answer using words, and you must show all work and calculations to receive credit.
Holding Tank Calculations: The holding tanks are congruent in size, and both are in the shape
of a cylinder that has been cut in half vertically. The bottom of the tank is a curved surface.
What is the volume of both tanks if the radius of tank #1 is 15 feet and the height of tank #2 is
120 feet? You must explain your answer using words, and you must show all work and
calculations to receive credit.

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MrRoyal MrRoyal · Answer 1 · 2022-08-05T21:58:29+02:00

The volume of the quarter-sized tank is 14034 cubic feet and the volume of the holding tanks is 84857 cubic feet

The radius is given as;

r = 95 feet

For a quarter-sized tank, we divide the radius by 4.

So, we have

r = 95/4 feet

r = 23.75 feet

The volume is

V = 1/3 πr³

This gives

V = 1/3 * 22/7 * 23.75³

Evaluate

V = 14034

Hence, the volume of the quarter-sized tank is 14034 cubic feet

Here, we have

Radius, r = 15 feet

Height, h = 120 feet

The volume is

V = πr²h

This gives

V = 22/7 * 15² * 120

Evaluate

V = 84857

Hence, the volume of the holding tanks is 84857 cubic feet