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2 years ago

A. 1) Given

Mathematics

1 answer:

SCORPION-xisa [38]2 years ago

8 0

<u>Reasons</u>

Given
A midpoint splits a segment into two congruent parts
A triangle with a right angle is a right triangle
HL

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You want to find the volume inside the hemisphere $x^2+y^2+z^2=4$ (i.e. inside the sphere but above the plane $z=0$ ) and outside the cylinder $x^2+y^2=1$ . Call this region $R$ .

In cylindrical coordinates, we have

$\displaystyle\iiint_R\mathrm dV=\int_0^{2\pi}\int_1^2\int_0^{\sqrt{4-r^2}}r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta$

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4 years ago

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3 years ago

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3 years ago

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3 years ago

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Answer:

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