Answer:
Explanation:
Given the radius of the base of the cone is 5 cm and the height of the cone is 12 cm, we can find the volume of the toy as follows:
Volume of the cone:
The volume of a cone can be found using the formula: V = (π * r^2 * h) / 3, where r is the radius and h is the height of the cone.
Plugging in the values, we get:
V = (π * 5^2 * 12) / 3 = 100π cm^3
Volume of the hemisphere:
The volume of a hemisphere can be found using the formula: V = (4/3) * π * r^3, where r is the radius of the hemisphere.
Plugging in the values, we get:
V = (4/3) * π * 5^3 = (4/3) * π * 125 = 500π / 3 cm^3
Total volume of the toy:
The total volume of the toy is equal to the sum of the volume of the cone and the volume of the hemisphere:
V = 100π + 500π / 3 = (100 + 500 / 3) * π = 600π / 3 cm^3
So, the total volume of the toy is 600π / 3 cubic centimeters.