Which equation and solution give the radius of the smaller cylinder if the volume inside the larger cylinder but out side the smaller cylinder is 768 centimeter

Question

asked Jan 10, 2022 226k views

1 Answer

Darryn · Answer 1 · 2022-01-15T00:51:27+0000

Answer:

$768\pi = 1024\pi - 16\pi r^2$

r = 4

Explanation:

See attachment for complete question

Given

$v = 1.024\pi - 16\pi r^2$

Required

Determine the equation and solution when v = 768

$v = 1024\pi - 16\pi r^2$

Substitute
$768\pi$ for v

$768\pi = 1024\pi - 16\pi r^2$

The above expression represents the equation

Solving further:

$768\pi = 1024\pi - 16\pi r^2$

Collect like terms

$16\pi r^2 = 1024\pi - 768\pi$

$16\pi r^2 = 256\pi$

Divide both sides by
$16\pi$

$r^2 = (256\pi)/(16\pi)$

r^2 = (256)/(16)

r^2 = 16

Take square roots of both sides

$r = \sqrt{16$

r = 4