a cylinder has a volume of 24 cubic centimeters. The height of a cone with the same radius is two times the height of the cylind

Question

Leona [35]

3 years ago

14

a cylinder has a volume of 24 cubic centimeters. The height of a cone with the same radius is two times the height of the cylind

er. What is the volume of the cone?

Mathematics

1 answer:

Anastaziya [24] · Answer 1 · 2022-04-10T07:19:51+03:00

Answer:

<h2>Volume of the cone is 16 cm³</h2>

Step-by-step explanation:

<h3 /><h3>We know that the volume of the cylinder is 24 cm³</h3><h3 /><h3>The formula for this cylinder is 24 = πr²h</h3><h3 /><h3>The cone has the same radius, but it's height is twice that of the cone, so the formula for the volume of the cone is</h3><h3 /><h3>V = (1/3)πr²(2h) it's 2h because it's height is twice the</h3><h3> height of the cylinder</h3><h3 /><h3>We can rewrite the equation using the associative rule of multiplication...</h3><h3 /><h3>V = (2/3)(πr²h)</h3><h3 /><h3>We know from the formula for the cylinder that πr²h = 24 cm³, so substitute that in...</h3><h3 /><h3>V = (2/3)(24 cm³)</h3><h3 /><h3>Now simplify...</h3><h3 /><h3>V = 16 cm³</h3>