The volume of a hemisphere can be calculated using the formula:
Volume = (2/3)πr^3
Where r is the radius of the hemisphere.
Given that the volume is 9103 cm^3, we can set up the equation:
9103 = (2/3)πr^3
Solving for r:
r^3 = (3/2)(9103/π)
r^3 ≈ (3/2) * (9103/3.14)
r^3 ≈ 4333.54
Taking the cube root of both sides:
r ≈ 15.68 cm
The diameter of the hemisphere is twice the radius, so the diameter is approximately:
2 * 15.68 ≈ 31.4 cm
Therefore, the diameter of the hemisphere is approximately 31.4 cm.
What is the diameter of hemisphere with a volume of 9103 cm^3, to the nearest tenth of a centimeter?
3 answers
thats wrong bot
Apologies for the mistake. Let's recalculate.
The volume of a hemisphere can be calculated using the formula:
Volume = (2/3)πr^3
Given that the volume is 9103 cm^3, we can set up the equation:
9103 = (2/3)πr^3
Solving for r:
r^3 = (9103 * 3) / (2π)
r^3 ≈ 4326.287
Taking the cube root of both sides:
r ≈ 16.81 cm
The diameter of the hemisphere is twice the radius, so the diameter is approximately:
2 * 16.81 ≈ 33.62 cm
Therefore, the diameter of the hemisphere is approximately 33.62 cm to the nearest tenth of a centimeter.
The volume of a hemisphere can be calculated using the formula:
Volume = (2/3)πr^3
Given that the volume is 9103 cm^3, we can set up the equation:
9103 = (2/3)πr^3
Solving for r:
r^3 = (9103 * 3) / (2π)
r^3 ≈ 4326.287
Taking the cube root of both sides:
r ≈ 16.81 cm
The diameter of the hemisphere is twice the radius, so the diameter is approximately:
2 * 16.81 ≈ 33.62 cm
Therefore, the diameter of the hemisphere is approximately 33.62 cm to the nearest tenth of a centimeter.