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Allen wants to make a cone out of copper that has a density of 8.96 grams/ cubic centimeter. He wants the cone's base to have a diameter of 8 cm and the height of the cone to be 10 cm. What mass of copper will he need?

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Answer:

To calculate the mass of copper needed to make the cone, we can use the following formula:

Volume of Cone = (1/3) * π * r^2 * h

where r is the radius of the base of the cone and h is the height of the cone.

Given that Allen wants the cone’s base to have a diameter of 8 cm, we can calculate that the radius of the base is 4 cm. The height of the cone is given as 10 cm.

Substituting these values into the formula above, we get:

Volume of Cone = (1/3) * π * (4 cm)^2 * 10 cm = 167.55 cubic centimeters

The density of copper is given as 8.96 grams/cubic centimeter. Therefore, we can calculate the mass of copper needed to make the cone as follows:

Mass of Copper = Volume of Cone * Density of Copper

Mass of Copper = 167.55 cubic centimeters * 8.96 grams/cubic centimeter = 1500.98 grams

Therefore, Allen will need approximately 1500.98 grams of copper to make the cone.

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