Mathematics: Acone has a radius of r units and a height of h units. a cylinder has a ridius of 2r units and has the same volume as the cone. what is the height of the cylinder? write and explanation of how you got your answer.

Acone has a radius of r units and a height of

Ответ:

nestor59

13.03.2022

Volume of a cone is calculated as:

$V_{cone}= \frac{1}{3} \pi r^{2} h
$

Volume of the cylinder is calculated as:

$V_{cylinder}= \pi R^{2}H$

The radius of cylinder is twice the radius of cone. So R=2r. The two volumes are given to be equal, so we can write:

$\frac{1}{3} \pi r^{2} h= \pi R^{2} H \\ \\ 
 \frac{1}{3} r^{2} h= (2r)^{2} H \\ \\ 
 \frac{1}{3} r^{2} h= 4r^{2} H \\ \\ 
 \frac{1}{3} h= 4H \\ \\ 
H= \frac{1}{12}h$

Thus, the height of the cylinder will be h/12

0,0(0 оценок)

Ответ:

sha712

10.08.2021

Mathematics

29.31/(3.14*11/3) = ~2.5
the answer should be ~3.2

mark me brainliest please

0,0(0 оценок)

Acone has a radius of r units and a height of h units. a cylinder has a ridius of 2r units and has the same volume as the cone. what is the height of the cylinder? write and explanation of how you got your answer.

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question