Question

A cylinder has a volume of 78cm3 What is the volume of a cone with the same radius and height?

Answer 1

Answer :D

The volume of the cone is
`26^{}`
`cm^(3)`

Question explanation:

Okay, so, we know that.

The volume of a cylinder is equal to:

`V^{}`
`=`
`\pi`
`r^(2)`
`h`

In this problem, we have that:

`V`
`=`
`78`
`cm^(3)`

So:

`78 =`
`\pi`
`r^(2)`
`h`
`=`
`equation`
`A`

The volume of a cone with the same radius and height is equal to

`V =`
`(1)/(3)`
`(\pi r^(2) h)`
`= equation`
`B`

Substitute equation A in equation B

`V = (1)/(3) (78)`

`V = 26^{}`
`cm^(3)`

Sorry if this answer is incorrect - Answered by Lilo

Answer 2

Answer:Volume of cylinder V= bh= 78 cm^3,

where b is area of base(circle). Then volume of cone = 1/3bh =1/3*78 = 26 cm^3Upvote•0Downvote Add comment