Answered

At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Get quick and reliable solutions to your questions from knowledgeable professionals on our comprehensive Q&A platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

A cone has a height of 20 millimeters and a diameter of 28 millimeters. What is its volume?

Sagot :

Since the diameter of the cone is 28 mm, then the radius is:

[tex]r=\frac{d}{2}=\frac{28}{2}=14\operatorname{mm}[/tex]

then, we have the following equation to find the volume of the cone:

[tex]V=\frac{1}{3}\pi\cdot r^2\cdot h[/tex]

in this case, we have the following information:

[tex]\begin{gathered} \pi=3.14 \\ r=14 \\ h=20 \end{gathered}[/tex]

substituting these values on the equation, we have:

[tex]\begin{gathered} V=\frac{1}{3}\cdot(3.14)(14)^2(20)=\frac{1}{3}\cdot(12308.8)=4102.93 \\ V=4102.93\operatorname{mm} \end{gathered}[/tex]

therefore, the volume of the cone is 4102.93mm^3

Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.