Two similar cylindrical canisters are being used for storage in the kitchen if the second canister will hold 1/64 as much material as the first canister what is the height of the second canister

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09-05-2022
Mathematics

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Two similar cylindrical canisters are being used for storage in the kitchen if the second canister will hold 1/64 as much material as the first canister what is the height of the second canister

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jainveenamrata jainveenamrata · Answer 1 · 2022-05-13T12:19:44+02:00

If the volume of the second canister is 101.25π. Then the height of the second container will be 0.3125 units.

What is a cylinder?

A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.

Two similar cylindrical canisters are being used for storage in the kitchen if the second canister will hold 1/64 as much material as the first canister what is the height of the second canister.

The height of the first canister is 20, and the radius is 18.

Then the volume of the first canister will be

V₁ = π r²h

V₁ = π × 18² × 20

V₁ = 6480 π cubic units

The volume of the second canister will be

[tex]\rm V_2 = \dfrac{1}{64} \times V_1\\\\V_2 = \dfrac{1}{64} \times 6480 \pi \\\\V_2 = 101.25 \pi \ cubic \ units[/tex]

Let the radius of both canisters be equal. Then the height of the canister will be

[tex]\rm h = \dfrac{V_2}{\pi r^2}\\\\h = \dfrac{101.25 \pi}{\pi \times 18^2}\\\\h = 0.3125[/tex]

More about the cylinder link is given below.

https://brainly.com/question/3692256

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