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german
3 years ago
11

Pls help i keep getting it wrong.

Mathematics
1 answer:
Oksanka [162]3 years ago
3 0
Did yhu do 5 and 8 ?
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Step-by-step explanation:

From the information given:

BY applying sphere coordinates:

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0  ≤ ρ   ≤  9

The intersection that takes place in the sphere and the cone is:

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V  = \int \limits^{\pi/2}_{\pi/4} \ sin \phi  \ d \phi  \int \limits ^{2\pi}_{0} d \theta \int \limits^9_0 \rho   ^2 d\rho

V = \bigg [-cos \phi  \bigg]^{\pi/2}_{\pi/4}  \bigg [\theta  \bigg]^{2 \pi}_{0} \bigg [\dfrac{\rho^3}{3}  \bigg ]^{9}_{0}

V = [ -0+ \dfrac{1}{\sqrt{2}}][2 \pi -0] [\dfrac{9^3}{3}- 0 ]

V = 243\sqrt{2} \ \pi

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