the perimeter of the circular base of a cone is 132 cm and its vertical height is 28 cm find the curved surface area total surface area and volume of the cone

i. Curved surface area = 2310

ii. Total surface area = 3696

iii. volume = 12936

Step-by-step explanation:

Perimeter of the circular base = circumference of the circle = 132 cm

circumference of a circle = 2r

132 = 2r

r =

 =

r = 66 x

 = 3 x 7

 = 21

radius = 21 cm

vertical height, h = 28 cm

Thus applying the Pythagoras theorem,

= +

  = +

  = 784 + 441

  = 1225

l =

l = 35 cm

The slant height is 35 cm.

i. Curved surface area = rl

                           = x 21 x 35

                           = 22 x 3 x 35

                           = 2310

curved surface area of the cone is 2310 .

ii. Total surface area = + rl

                                  = r(r + l)

                                  = x 21 (21 + 35)

                                  = 22 x 3 x 56

                                  = 3696

The total surface area of the cone is 3696 .

iii. volume of a cone = h

                                  =   x x x 28

                                   = 12936

The volume of the cone is 12936

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step-by-step explanation:

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