Answer:
706.3 cm³
Step-by-step explanation:
<u>Given</u>
<em>"The cone and cylinder above have the same radius and height..."</em>
<em>the volume of the cone = 210 cubic centimeters</em>
<u>Formula</u>
The formula for the volume of a cylinder is V=Bh or V=πr2h. The radius of the cylinder is 8 cm and the height is 15 cm. Substitute 8 for r and 15 for h in the formula V=πr2h.
<u>How to solve</u>
Given radius and height calculate the volume, lateral surface area, and total surface area.
Calculate V, L, A | Given r, h
use the formulas above
Given radius and volume calculate the height, lateral surface area, and total surface area.
Calculate h, L, A | Given r, V
h = V / πr2
Given radius and lateral surface area calculate the height, volume, and total surface area.
Calculate h, V, A | Given r, L
h = L/2πr
Given the height and lateral surface area calculate the radius, volume, and total surface area.
Calculate r, V, A | Given h, L
r = L/2πh
Given height and volume calculate the radius, lateral surface area, and total surface area.
Calculate r, L, A | Given h, V
$r = √( V / πh )
