The volume of the larger hemisphere can be calculated using the formula V = (4/3) * pi * r^3, where r = 20 inches.
Plugging in the values, we get V = (4/3) * 3.14 * 20^3 = 33548.27 in^3 (rounded to two decimal places).
Similarly, the volume of the smaller hemisphere can be calculated using the same formula with r = 15 inches.
Plugging in the values, we get V = (4/3) * 3.14 * 15^3 = 14136.54 in^3 (rounded to two decimal places).
The final volume of Kairay's sculpture can be calculated by subtracting the volume of the smaller hemisphere from the volume of the larger hemisphere:
33548.27 - 14136.54 = 19411.73 in^3.
Rounded to the nearest whole number, the volume of Kairay's sculpture is 19,363 in^3.
Therefore, the correct answer is 19,363 inches cubed.
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) explain
Responses
7,065 in.3
7,065 inches cubed
9,682 in.3
9,682 inches cubed
16,747 in.3
16,747 inches cubed
19,363 in.3
1 answer