Question

A cylinder and sphere have the same height. If the sphere has a volume of 361 cubic units, what is the height of the cylinder?

Answer 1

Answer:

The height is 8.83 units

Step-by-step explanation:

Recall that $V_{sphere}=\frac{4}{3}\pi r^3$. Since the height of a sphere is just twice the radius, then we need to solve for r and multiply by 2 to get the height of the cylinder:

$V_{sphere}=\frac{4}{3}\pi r^3$

$361=\frac{4}{3}\pi r^3$

$1083=4\pi r^3$

$\frac{1083}{4\pi}=r^3$

$\sqrt[3]{\frac{1083}{4\pi}}=r$

$h=2r$

$h=2\sqrt[3]{\frac{1083}{4\pi}}$

$h\approx8.83$

Answer 2

Answer:

Sa = 36 circumference per meter square