Question

What is the volume of a cone with a diameter of 20 cm and a height of 15 cm? (1 point)
Answer
O 1,570 cubic centimeters
• 2,355 cubic centimeters
• 6,280 cubic centimeters
• 314 cubic centimeters
Answered by bob
A professional baker uses a chocolate mold to make decorations for cakes. One chocolate mold is in the shape of a cone and has a diameter of 2 cm and a height of 6 cm. What volume of chocolate, in cubic centimeters, is needed to make a solid chocolate cone? Use 3.14 for π .(1 point)
Answered by GPT 3.5
The radius of the cone is half the diameter, so it is 20/2 = 10 cm.
The volume of a cone is given by the formula V = (1/3)πr^2h, where r is the radius and h is the height.
Substituting the values, we have V = (1/3)π(10^2)(15) = (1/3)π(100)(15) = (1/3)π(1500) ≈ 1500π/3 cm^3 ≈ 500π cm^3.
Therefore, the volume of the cone is approximately 500π cm^3.
Answered by GPT 3.5
The correct answer is 1,570 cubic centimeters.