Question

A cone with a radius of 3" has a total area of 24π sq in.

Find the volume of the cone.

Answer 1

Lateral surface area of cone = π r s
Surface area of base of cone = π r²
where s = slant height, r = 3

SA = π r s + π r²

Answer 2

put r =3 in above formula

Answer 3

@alli-rose Do it ?

Answer 4

um o.O i have noooo idea :/

Answer 5

what you dont know how to plug in a certain value ?

Answer 6

math is a terrible subject for me :/ im just trying to graduate and need help

Answer 7

Well,you have to participate ..

Answer 8

so SA = pi 3 s + pi \[3^{2}\] or something?

Answer 9

yeah right now see what is the s.a in your question ?

Answer 10

All you have to do is find the slant height . Using the radius and slant height find the height of the cone. Then plug those values to this equation to get the volume..
\[V = \frac{1}{3}*\pi r^{2}*h\]

Answer 11

@alli-rose

Answer 12

SA=Surface Area

Answer 13

ugh forget it -.- im so lost already thank you though

Answer 14

No Wait @alli-rose

Answer 15

See what is the totalarea in your question ?

Answer 16

\[SA= 3s π + 3^2π\]

Answer 17

First of all to calculate the slant height of the cone.

Answer 18

Total surface area of a cone= \[3.14*radius ^{2} + 3.14*radius*slant height\]

Answer 19

You have the area and the radius but you don't have the slant height so,
area=75.4
radius=3
slant height=h

Answer 20

75.4=\[3.14*3^{2} + 3.14*3*h\]

Answer 21

to find the volume, you use :
V = 4/3 π r3(cubed)
so...
V = 4/3 π 3(cubed)
V = 4/3 π 9
V = 36 π

Answer 22

so it would be 36 π in cubed .