A theme park company is opening a marine-inspired park in your city. They are in the process of designing the theatre where a killer whale show will take place. The following design is already under construction and will house the whales that perform in the show:

Question

gabylovesyou · Answer

Main Show Tank Calculation:

The main tank has a radius of 70 feet. What is the volume of the quarter-sphered 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.

gabylovesyou · Answer

@jim_thompson5910 @ganeshie8 @dumbcow

mathmath333 · Answer

$\large\tt \color{black}{volume~~of~~full~~sphere(v)=\dfrac{4\pi r^3}{3}}$


$\large\tt \color{black}{as~~the~~quarter~-~sphere~~is~~asked~~(v')=\dfrac{v}{4}}$

$\large\tt \color{black}{(v')=\dfrac{4\pi r^3}{4\times3}}$

mathmath333 · Answer

$\large\tt \color{black}{(v')=\dfrac{\pi r^3}{3}}$

gabylovesyou · Answer

@jim_thompson5910 im confused

anonymous · Answer

Use the equation that mathmath333 gave you. You just need to plug in the radius and solve for v'

anonymous · Answer

The equation would look like $$V'=\frac{ \pi(70)^{3} }{ 3 }$$