Question

A cylinder has a radius of 3 feet and a height of 7 feet. Which of the following can be used to calculate the volume of a cone that fits exactly inside the cylinder?
(3.14)(72(3)
(3 144722(3)
(3.14)(3)(7)
(3,141(2277)

Answer 1

Answer:

$(3.14)(3)(7)$

Step-by-step explanation:

we know that

The volume of the cone is equal to

$V=\frac{1}{3}\pi r^{2} h$

we have that the radius and the height of the cone will be equal to the radius and the height of the cylinder

so

$r=3\ ft$

$h=7\ ft$

$\pi =3.14$

substitute the given values

$V=\frac{1}{3}(3.14)(3)^{2} (7)$

$V=\frac{1}{3}(3.14)(9)(7)$

Simplify

$V=(3.14)(3)(7)$