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!HELP! SHOW WORK PLEASE SO I CAN UDNERSTAND!

A paper drinking cup in the shape of a cone has a height of 10 centimeters and a diameter of 8 centimeters. Which of the following is the closest to the volume of the cup in cubic centimeters?

167 cm³

209 cm³

670 cm³

502 cm³

Verified Answer :

The formula for the volume of a cone is π r²h/3. You are given the height and the diametre of the cone. You need the radius which is half the diametre (4). So, f you were to write this out, it would look like this:

3.14 × 4² × 10/3 

your answer is going to be 167 cm³

SchwarzschildRadius

Ok.

The volume of a cone is the volume of a cylinder over 3.

The volume of a cone is:
\(\frac{1}{3} \pi r^{2}h\)

This problem gives us the diameter, which is twice of the radius.  So, we'll just half it.
Radius (me) = 4 cm.

Substitute our given values into the equation.
\(\frac{1}{3} \pi (4)^{2}h \ or \ \frac{1}{3} \pi (4)^{2}(10) \ or \ \frac{1}{3} \pi (16)(10)\)

Multiply
\(\frac{1}{3} \pi(160) \ or \ \frac{1}{3} (3.14)(160) \ or \ 1.047(160)\)

Multiply
\(167.52 \ cm^{3}\)

This would make \(167 \ cm^{3}\) the closest option.

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