Since a hemisphere is half of a sphere, we can calculate the volume of a full sphere with radius 21 m and then divide by 2 to get the volume of the hemisphere.
Volume of a sphere = (4/3)πr^3
Volume of hemisphere = (1/2) × (4/3)π(21)^3
= (2/3)π(9261)
≈ 19457.2 m^3
Therefore, the volume of the hemisphere is approximately 19457.2 m^3.
Ans: A. 19457.2 m^3
A hemisphere is exactly one-half of a sphere. Find the volume of a hemisphere with radius = 21 m. Use π ≈ 3.14 .
The volume of the hemisphere is: (_) | A. m^3 | B.m^2 | C.m.
(Type a whole number or decimal rounded to the nearest tenth as needed.)
5 answers
A hemisphere is exactly one-half of a sphere. Find the volume of a hemisphere with radius = 21 m. Use π ≈ 3.14 .
To find the volume of a hemisphere, we use the formula:
Volume of a sphere = (2/3)πr^3
Given that the radius, r = 21 m, we can plug in this value into the formula:
Volume of hemisphere = (1/2) × (2/3)π(21)^3
= (1/2) × (2/3)π(9261)
= (1/3)π(9261)
= (1/3) × 3.14 × 9261
≈ 75596.58 m^3
Therefore, the volume of the hemisphere is approximately 75596.58 m^3.
So the answer should be A. 75596.58 m^3.
Volume of a sphere = (2/3)πr^3
Given that the radius, r = 21 m, we can plug in this value into the formula:
Volume of hemisphere = (1/2) × (2/3)π(21)^3
= (1/2) × (2/3)π(9261)
= (1/3)π(9261)
= (1/3) × 3.14 × 9261
≈ 75596.58 m^3
Therefore, the volume of the hemisphere is approximately 75596.58 m^3.
So the answer should be A. 75596.58 m^3.
A hemisphere is exactly one-half of a sphere. Find the volume of a hemisphere with radius = 21 m. Use π ≈ 3.14 .
The volume of the hemisphere is: (_)
(Type a whole number or decimal rounded to the nearest tenth as needed.)
The volume of the hemisphere is: (_)
(Type a whole number or decimal rounded to the nearest tenth as needed.)
The formula for the volume of a hemisphere is (2/3)πr^3, where r is the radius of the hemisphere.
Given that the radius, r = 21 m, we can plug in this value into the formula:
Volume of hemisphere = (1/2) * (2/3) * 3.14 * (21)^3
Volume of hemisphere = (1/2) * (2/3) * 3.14 * 9261
Volume of hemisphere = (1/3) * 3.14 * 9261
Volume of hemisphere = (3.14 * 9261) / 3
Volume of hemisphere ≈ 28946.94 m^3
Therefore, the volume of the hemisphere is approximately 28946.9 m^3.
So, the answer is 28946.9 m^3.
Given that the radius, r = 21 m, we can plug in this value into the formula:
Volume of hemisphere = (1/2) * (2/3) * 3.14 * (21)^3
Volume of hemisphere = (1/2) * (2/3) * 3.14 * 9261
Volume of hemisphere = (1/3) * 3.14 * 9261
Volume of hemisphere = (3.14 * 9261) / 3
Volume of hemisphere ≈ 28946.94 m^3
Therefore, the volume of the hemisphere is approximately 28946.9 m^3.
So, the answer is 28946.9 m^3.
1 answer