Question

A cone has a radius of 3 cm and height of 5 cm, what is the volume of the cone?

Answer 1

`V ~~47.124` cubic cm

Explanation:

The following formula is used for calculating the volume (V) of a cone.

`color(red)(|bar(ul(color(white)(a/a)color(black)(V=1/3pir^2h)color(white)(a/a)|)))`
where r is the radius and h, the height.

Substitute r = 3 and h = 5 into the formula.

`rArrV=(pixx3^2xx5)/3=(45xxpi)/3≈47.124" cubic cm"`

Answer 2

Volume `V=1/3*pi*9*5=15pi cm^3 =47.1 cm^3.`

Explanation:

Let radius be `r` & height `H` of the cone. The volume `V` of the cone is given by, `V=1/3*pi*r^2*h.`

Hence, reqd. volume `V=1/3*pi*9*5=15pi cm^3.`

Taking `pi=3.14`, `V=47.1 cm^3.`