Math, asked by soumyabasuri4810, 8 months ago

Which cylinder has the greatest volume?
a cylinder with a height of 9 cm and a radius of 9 cm
a cylinder with a height of 12 cm and a radius of 6 cm
a cylinder with a height of 6 cm and a radius of 12 cm
a cylinder with a height of 15 cm and a radius of 3cm

Answers

Answered by khatibayda52
0

Answer:

its C / a cylinder with a height of 6 cm and a radius of 12 cm

Step-by-step explanation:

i got it right on edg

Answered by syed2020ashaels
0

Answer:

The answer to the given question is a cylinder with the highest volume is a cylinder with a height of 9 cm and a radius of 9 cm

Step-by-step explanation:

Given:

a cylinder with a height of 9 cm and a radius of 9 cm

a cylinder with a height of 12 cm and a radius of 6 cm

a cylinder with a height of 6 cm and a radius of 12 cm

a cylinder with a height of 15 cm and a radius of 3cm

To find :

The cylinder has the greatest volume.

Formula :

The formula to find the answer is

the volume of the cylinder = πr²h cu. units.

Solution:

A volume of a cylinder with a height of 9 cm and radius of 9 cm.

\pi( {9}^{2} )9 \\ \pi(81)9 = 729\pi {cm}^{3}

A volume of a cylinder with a height of 12 cm and a radius of 6 cm

\pi {(6)}^{2}  \times 12  \\ \pi(36)(12) = 432 {cm}^{3}

A volume of a cylinder with a height of 6 cm and a radius of 12 cm

\pi( {12}^{2} ) \times 6 \\ \pi(144) \times 6 = 864 {cm}^{3}

A volume of a cylinder with a height of 15 cm and a radius of 3cm

\pi( {3}^{2} ) \times 15 \\ \pi(9)(15) \\  = 135 {cm}^{3}

On comparing the value obtained for all the options,

we can find the volume which is the greatest of all other cylinder volumes.

A cylinder with greatest volume is a cylinder with a height of 9 cm and a radius of 9 cm

# spj3

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