The volume of a hemisphere is given by the formula:
V = (2/3)πr^3
where V is the volume and r is the radius.
We are given that the volume of the hemisphere is 2507 in^3, so we can set up the equation:
(2/3)πr^3 = 2507
Solving for r, we get:
r^3 = (2507 × 3) / (2π) = 3764.51
Taking the cube root of both sides, we get:
r = 15.67
The diameter of the hemisphere is twice the radius, so:
d = 2r = 31.34
Rounding to the nearest tenth of an inch, we get:
The volume of a hemisphere is given by the formula:
V = (2/3)πr^3
where V is the volume and r is the radius.
We are given that the volume of the hemisphere is 2507 in^3, so we can set up the equation:
(2/3)πr^3 = 2507
Solving for r, we get:
r^3 = (2507 × 3) / (2π) = 3764.51
Taking the cube root of both sides, we get:
r = 15.67
The diameter of the hemisphere is twice the radius, so:
d = 2r = 31.34
Rounding to the nearest tenth of an inch, we get:
Answer:
d ≈ 31.3 inches
Explanation:
Therefore, the diameter of the hemisphere with a volume of 2507 in^3 is approximately 31.3 inches.