Kairay created a sculpture by forming a hemisphere with a radius of 20 inches and then removing a hemisphere with a radius of 15 inches from it. Calculate the volume of his sculpture. Use 3.14 as an approximation for pi. Round your answer to the nearest whole number. (1 point)

Question

7,065 in.3

19,363 in.3

9,682 in.3

16,747 in.3

Answer 1

The volume of the larger hemisphere is given by V_large = (4/3)π(20)^3 = 33,510.32 in^3
The volume of the smaller hemisphere is given by V_small = (4/3)π(15)^3 = 14,137.17 in^3

Therefore, the volume of the sculpture is V_large - V_small = 33,510.32 - 14,137.17 = 19,373.15 in^3 ≈ 19,363 in^3

Therefore, the correct answer is 19,363 in^3.

Answer 2

What is the total volume of the shape below if the height of the cylinder is 9 inches, the radius of the cylinder is 10 inches and the height of the cone is 15 inches. Use 3.14 for π.
The total volume _______cubic inches.

Answer 3

The volume of a cylinder is given by V_cylinder = πr^2h, where r is the radius and h is the height.

Given that the radius of the cylinder is 10 inches and the height of the cylinder is 9 inches, the volume of the cylinder is:
V_cylinder = π(10)^2(9) = 900π in^3

The volume of a cone is given by V_cone = (1/3)πr^2h, where r is the radius and h is the height.

Given that the radius of the cone is 10 inches and the height of the cone is 15 inches, the volume of the cone is:
V_cone = (1/3)π(10)^2(15) = 500π in^3

Therefore, the total volume of the shape is:
Total Volume = V_cylinder + V_cone
Total Volume = 900π + 500π
Total Volume = 1400π in^3

Using π ≈ 3.14, we can calculate the total volume:
Total Volume = 1400*3.14 ≈ 4396 cubic inches

Therefore, the total volume of the shape is approximately 4396 cubic inches.