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
Answers
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