2 years ago

PLEASE PLEASE PLEASE SOMEONE HELP!!!!!!

Mathematics

1 answer:

Bas_tet [7]2 years ago

4 0

Answer:

8,3

Step-by-step explanation:

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Step-by-step explanation:

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if the height of the cylinder with a radius of 12 cm and a height of 20 cm has the same volume as a cone with a radius of 8 cm.

Marrrta [24]

Answer:

$\large\boxed{H=135\ cm}$

Step-by-step explanation:

The formula of a volume of a cylinder:

$V=\pi r^2H$

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The formula of a volume of a cone:

$V=\dfrac{1}{3}\pi r^2H$

r - radius

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We have the radius r = 8cm and the volume V = 2880πcm³. Substitute:

$\dfrac{1}{3}\pi(8^2)H=2880\pi\qquad\text{divide both sides by}\ \pi\\\\\dfrac{1}{3}(64)H=2880\qquad\text{multiply both sides by 3}\\\\64H=8640\qquad\text{divide both sides by 64}\\\\H=135\ cm$

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3 years ago