1. The main tank has a radius of 70 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.

volume of quarter sphere is 359006 cubic feet

Explanation:

Given data

radius = 70 feet

to find out

the volume of quarter sphere size tank

solution

we know that volume of sphere is 4/3 * π * r³

so that when volume of of quarter sphere size

so The quarter of a sphere has 1 quarter of that volume

that is volume

volume will be (1/3 * π * r³)

now put the value r = 70 feet, and solve it

volume of quarter sphere = (1/3 * π * r³)

volume of quarter sphere = (1/3 * π * 70³)

volume of quarter sphere = 1077020 / 3

volume of quarter sphere is 359006 cubic feet