Question

DETERMINE O VOLUME ESTRE AS ESFERAS: X² + Y² + Z² ≤ 100 E X² + Y² + Z² ≤ 64. *

A)488π
B) (488/3) π
C) (976/3)π
D)(1952/3)π
E) NENHUMA DAS ANTERIORES.

Answer 1

Resposta:

d

Explicação passo-a-passo:

(x - a)² + (y - b)² + (z - c)² = R²

x²+y²+z² = 100

R² = 100

R = 10

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(x - a)² + (y - b)² + (z - c)² = r²

x²+y²+z² = 64

r²= 64

r = 8

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Ve = 4pir³/3

De raio  = 10 ---> Ve = 4.pi.10³/3 = 4000π/3

De raio  = 8 ---> Ve = 4.pi.8³/3 = 2048π/3

Volume final 4000π/3 -2048π/3 = 1952π/3