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A spherical water tank holds 7,500 ft of water What is the diameter of the tank ? ( Hint: V= pi 6 d^ 3)

User Milky
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The spherical water tank with a volume of 7,500 ft³ has a diameter of approximately 24.28 feet.

We can find the diameter of the spherical water tank using the given volume (7,500 ft³) and the formula for the volume of a sphere:

Volume (V) = (4/3)πr³

where:

V is the volume of the sphere

π (pi) is a mathematical constant approximately equal to 3.14159

r is the radius of the sphere

Step 1: Relate diameter and radius

The diameter (d) is twice the radius (r):

d = 2r

Step 2: Substitute and solve for radius

We know the volume (V) and want to find the diameter (d), so we need to solve the formula for r:

r = ³√(V / [(4/3)π])

Plugging in the known volume (7,500 ft³):

r = ³√(7,500 ft³ / [(4/3)π])

r ≈ 12.14 ft

Step 3: Calculate diameter

Using the relationship between diameter and radius:

d = 2r ≈ 24.28 ft

Therefore, the diameter of the spherical water tank is approximately 24.28 feet

User Gaohomway
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