Curved Surface Area Solution5





In this page curved surface area solution3 we are going to see solution of some practice questions.

Question 10

The radius and height of a right circular solid cone are 7 cm and 24 cm respectively. Find its curved surface area and total surface area.

Solution:

radius of the cone (r) = 7 cm

height of the cone (h) = 24 cm

slant height (l) = ?

             L² = r²  + h²

                L = √7² + 24²

                L = √49 + 576

                L = √625

             L = √ 25 x 25

             L = 25 cm

Curved surface area of cone = Π r l

                                        = (22/7) x 7 x  25

                                                  = 550 cm²

Total surface area of cone = Π r (l + r)

                                     = (22/7) x 7 (25 + 7)  

                                     = (22) x  (32)

                                     = 704 cm²

Curved surface of cone = 550 cm²

Total surface area of cone = 704 cm²