What is the volume of a cylinder with a height of 4xy^4 and a radius of 2x? (The formula fo the volume of a cylinder is V = pie r^2 h.)

asked Dec 6, 2023 220k views

13 votes

What is the volume of a cylinder with a height of 4xy^4 and a radius of 2x? (The formula fo

the volume of a cylinder is V = pie r^2 h.)

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8 votes

Answer:

volume:
$\sf 16\pi x^3y^4$

given:

cylinder volume:

$\hookrightarrow \sf \pi r^2h$

$\hookrightarrow \sf \pi (2x)^2(4xy^4)$

$\hookrightarrow \sf \pi (4x^2)(4xy^4)$

$\hookrightarrow \sf 16\pi x^3y^4$

Bjnsn answered Dec 11, 2023

by Bjnsn

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