What is the volume of a hemisphere with a diameter of 3.7 m, rounded to the nearest tenth of a cubic meter?
The formula to calculate the volume of a hemisphere is: V = (2/3)πr^3, where r is the radius.
Given that the diameter is 3.7 m, the radius (r) is half of the diameter, which is 3.7 / 2 = 1.85 m.
Plugging in the values into the formula:
V = (2/3)π(1.85)^3
V = (2/3)π(6.78)
V = 4.52π
Approximating π to 3.14:
V ≈ 4.52 x 3.14
V ≈ 14.1968
Rounded to the nearest tenth:
V ≈ 14.2 cubic meters
Therefore, the volume of a hemisphere with a diameter of 3.7 m is approximately 14.2 cubic meters.
What is the volume of a hemisphere with a radius of 62 cm, rounded to the nearest tenth of a cubic centimeter?
Given that the radius is 62 cm, we can use the same formula to calculate the volume of a hemisphere: V = (2/3)πr^3
Plugging in the radius:
V = (2/3)π(62)^3
V = (2/3)π(238328)
Calculating:
V ≈ 159218.2854
Rounded to the nearest tenth:
V ≈ 159218.3 cubic centimeters
Therefore, the volume of a hemisphere with a radius of 62 cm is approximately 159218.3 cubic centimeters.