Question

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.

Answer 1

volume of quarter sphere is 359006 cubic feet

Step-by-step 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