Find the diameter of a cone that has a volume of 29.31 cubic inches and a height of 7 inches. Use 3.14 for pi.. . 4 inches. . 2 inches. . 8 inches. . 6 inches

Question

asked Jun 18, 2017 169k views

2 Answers

Folibis · Answer 1 · 2017-06-23T15:20:19+0000

Answer: First option.

Explanation:

The formula that is used to calculate the volume of a cone is:

$V=(1)/(3)\pi r^2h$

Where "V" is the volume, "r" is the radius and "h" is the height.

In this case we know that we must used 3.14 for
$\pi$ , and:

$V=29.31\ in^3\\\\h=7\ in$

Then, we can substitute values into the formula:

29.31=(1)/(3)(3.14)r^2(7)

Now we must solve for "r":

$29.31=(1)/(3)(3.14)r^2(7)\\\\(3(29.31))/((3.14)(7))=r^2\\\\\sqrt{(3(29.31))/((3.14)(7))}=r\\\\r=2\ in$

Since the diameter is twice the radius, we get that the diameter of the cone is:

$d=2(2\ in)\\\\d=4\ in$