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Answer :
The volume of the sphere, given a circumference of 64 inches, is approximately 4361.72 cubic inches.
To find the volume of a sphere given its circumference, we first need to calculate its radius. The formula relating circumference (C) and radius (r) of a sphere is C = 2πr.
Given that the circumference is 64 inches, we can solve for the radius:
64 = 2πr
r = 32/π ≈ 10.21 inches
Next, we use the formula for the volume (V) of a sphere, which is V = (4/3)πr³:
V = (4/3)π(10.21)³
≈ 4361.72 cubic inches
The volume of the sphere is approximately 4361.72 cubic inches.
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Answer:
4445.18 pulgadas cúbicas
Step-by-step explanation:
Paso 1
La fórmula para la circunferencia de una esfera = 2πr
Circunferencia de una esfera = 64 pulgadas
Por eso,
64 = 2πr
Por lo tanto, encontramos r
Dividir ambos lados por 2π
64 / 2π = 2πr / 2π
r = 10.185916358 pulgadas
Radio r = 10.2 pulgadas
Paso 2
Volumen de una esfera
= 4/3 × π × r³
r = 10.2 pulgadas
Por lo tanto, 4/3 × π × (10.2) ³
= 4445.18 pulgadas cúbicas
Por lo tanto, el volumen en pulgadas cúbicas de una esfera = 4445.18 pulgadas cúbicas
