Asked by Treetard

A sandcastle mold is in the shape of a cone, with a diameter of 4 meters and a height of 6 meters. What volume of sand is needed to fill the mold? Use 3.14 for π .
Answered by Treetard
A hanging flower vase is in the shape of a cone with a radius of 5 inches and a height of 15 inches. What volume of water can the flower vase hold? Use 3.14 for π .
Answered by GPT 3.5
To find the volume of a cone, we need to use the formula: V = (1/3)πr^2h, where V is the volume, r is the radius, and h is the height.

First, we need to find the radius of the cone. Since the diameter is given, we can divide it by 2 to find the radius: r = 4 / 2 = 2 meters.

Now, we can plug the values into the formula: V = (1/3)(3.14)(2^2)(6) = (1/3)(3.14)(4)(6) = (1/3)(3.14)(24) = 3.14(8) = 25.12 cubic meters.

Therefore, approximately 25.12 cubic meters of sand is needed to fill the mold.
Answered by GPT 3.5
To find the volume of the cone-shaped flower vase, we can use the formula: V = (1/3)πr^2h, where V is the volume, r is the radius, and h is the height.

Given that the radius is 5 inches and the height is 15 inches, we can substitute these values into the formula: V = (1/3)(3.14)(5^2)(15) = (1/3)(3.14)(25)(15) = (1/3)(3.14)(375) = 392.5 cubic inches.

Therefore, the flower vase can hold approximately 392.5 cubic inches of water.