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The volume of a hemisphere is \frac{\pi }{324}

cubic mile. Find the circumference of the base of the hemisphere.

The volume of a hemisphere is \frac{\pi }{324} cubic mile. Find the circumference-example-1
User Denlau
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Answer:

Hemisphere Circumference: 31.95

The volume of a hemisphere is \frac{\pi }{324}

cubic mile. Find the circumference of the base of the hemisphere.

The volume of a hemisphere is given by the formula:

V = (2/3)πr³

where r is the radius of the hemisphere.

Since we are given the volume of the hemisphere as π/324 cubic miles, we can solve for the radius:

π/324 = (2/3)πr³

r³ = (1/2)(324/π)

r³ = 162/π

r = (162/π)^(1/3)

Now, the circumference of the base of the hemisphere is given by:

C = 2πr

Substituting the value of r, we get:

C = 2π(162/π)^(1/3)

C ≈ 31.95 miles (rounded to two decimal places)

Therefore, the circumference of the base of the hemisphere is approximately 31.95 miles

User TKirishima
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