Question

the height and the slant height of a cone are 28 cm and 35 cm respectively. find the volume of the cone​

Answer 1

Answer:

ANSWER

We can assume the Height of cone as the Height of a Right angled Triangle whose base = radius of the cone and slant height represents the Hypotenuse of that Triangle

Such that we can apply Pythagoras Theorem

21

2

+r

2

=28

2

⇒r= √343

Now, Volume of Cone =

3

1

πr

2

h=

3

1

∗

7

22

∗343∗21=7546 cm

3

Answer 2

Step-by-step explanation:

slant height= 35cm

height =28cm

radius =?

l²=r²+h²

(35)²= r²+(28)²

1225= r²+784

r²=1225-784

r²=441

r=√441

r=21cm

: volume of cone is =1/3 πr²h

= 1/3*22/7*21*21*28

= 12936cm³