High School

¿Cuál es el volumen en pulgadas cúbicas de una esfera cuya circunferencia mide 64 pulgadas?

Answer :

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

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.

To learn more about volume

https://brainly.com/question/14197390

#SPJ3