calculate the volume of a cone and hemisphere that have a height of 17 and a diameter of 12

cone: v = 1/3 πr^2 h

hemisphere: v = 2/3 πr^3
so plug in your numbers -- remember that r = d/2

Did you know?

Did you know that you can calculate the volume of a cone and hemisphere by knowing their height and diameter? For example, if a cone and hemisphere have a height of 17 units and a diameter of 12 units, you can determine their volumes using mathematical formulas. The volume of the cone can be found using the formula V = (1/3)πr^2h, where r is the radius and h is the height. In this case, the radius would be half of the diameter, which is 6 units. Substituting these values, we can calculate the volume of the cone. Similarly, the volume of the hemisphere can be determined using the formula V = (2/3)πr^3, where r is the radius (in this case, 6 units). By plugging in the values of the radius and using these simple formulas, we can effortlessly compute the volumes of the cone and hemisphere.