Question

A cone of height 24cm and slant height 25 cm has a curved surface area 550 cm square . Find its volume use pie = 22/7

Answer 1

Question : A cone of height 24cm and slant height 25 cm has a curved surface area 550 cm square . Find its volume use π = 22/7

Method of Solution :

{ Formulae of Cone }

↪ Volume of Cone = 1/3πr²h

↪ Curved Surface Area of Cone = πrl

↪ Total Surface Area of Cone = πr(l+r)

Now,

In this Question It is given that A cone of height 24cm and slant height 25 cm has a curved surface area 550 cm²

Given :

✏ Height of Cone = 24 Centimeters

✏ Slant Height of Cone = 25 Centimeters

✏ Curved Surface Area of Cone = 550 cm²

To Find :

✒ Find the Volume of it's Fine ?

Solution :

Curved Surface Area of Cone = 550

✏ πrl = 550

✏ 22/7 × r × 25 = 550

✏ 22r×25 = 550 × 7

✏ 550r = 550 × 7

✏ r = 7 Centimeters.

Now, According to the Question's Statement!

Statement : To Find the volume of Cone ?

Volume of Cone = 1/3πr²h

✏ Volume of Cone = 1/3 × 22/7 × 49 × 25

✏ Volume of Cone = 22/21 × 1225

✏ Volume of Cone = 22 × 58.33

✒ Volume of Cone = 1283.33 cm³

Therefore , Required Value of Volume of Cone is 1283.33 cm³.