6,437 views
13 votes
13 votes
A cone shaped paper cut the surface water the height of the cup is 10 cm in diameter is 8 cm. What is the radius of the cone? What is the volume of the paper cup?

A cone shaped paper cut the surface water the height of the cup is 10 cm in diameter-example-1
User Manik Arora
by
3.1k points

1 Answer

9 votes
9 votes

Given:

height of the cup = 10 cm

diameter = 8 cm

Let us begin by illustrating the problem on a diagram:

The base of the cone is a circle. Hence, its diameter(d) and radius(r) are related by the formula:


r\text{ = }(d)/(2)

Hence, the radius of the cone is:


\begin{gathered} r\text{ = }(8)/(2) \\ =\text{ 4 cm} \end{gathered}

The volume (V) of the paper cup can be found using the formula:


\begin{gathered} V\text{ = }(1)/(3)\pi r^2h \\ Where\text{ r is the radius} \\ h\text{ is the height} \end{gathered}

Hence, the volume (V) of the paper cup:


\begin{gathered} V\text{ = }(1)/(3)*\pi*\text{ 4}^2\text{ }*\text{ 10} \\ =\text{ 167.55} \\ \approx\text{ 168 cubic cm} \end{gathered}

Answer Summary

radius = 4 cm

volume = 168 cubic cm

A cone shaped paper cut the surface water the height of the cup is 10 cm in diameter-example-1
User Ldlchina
by
3.1k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.