Question

What is the volume of the Pop-Cone?

What is the price per cubic inch for the Pop-Cone?
Base=5in
Height=8in
PLSS HELP ASAP

Answer 1

Base radius is 5in

Height=8in

Volume

• 1/3πr²h
• 1/3π(5)²(8)
• 1/3π(8)(25)
• 200π/3
• 209.3in³

Answer 2

Volume = 13.3 in³ (nearest tenth)

Explanation:

`\textsf{Volume of a cone}=\sf (1)/(3) \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}`

`\textsf{Base area of a cone = area of a circle}=\sf \pi r^2`

`\implies \textsf{Volume of a cone}=\sf (1)/(3) h * \textsf{base area}`

Given:

• Base area = 5 in²
• Height = 8 in

Substituting the given values into the formula:

`\begin{aligned}\implies \textsf{Volume of a cone} & =\sf (1)/(3) (8)(5)\\\\ & = \sf (40)/(3)\\\\ & = \sf 13.3\:in^3\:(nearest\:tenth)\end{aligned}`