Math, asked by anandpatel9448, 1 year ago

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

Answered by Anonymous
39

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.




BrainlyHeroine: Awesome
Anonymous: Oh!
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