## Answer :

**Answer:**

ii. Total surface area = 3696

**Step-by-step explanation:**

ii. Total surface area = 3696

�

�

2

cm

2

iii. volume = 12936

�

�

3

cm

3

Step-by-step explanation:

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

circumference of a circle = 2

�

π r

132 = 2

�

π r

r =

132

2

�

2π

132

=

66

�

π

66

r = 66 x

7

22

22

7

= 3 x 7

= 21

radius = 21 cm

vertical height, h = 28 cm

Thus applying the Pythagoras theorem,

�

2

l

2

=

ℎ

2

h

2

+

�

2

r

2

=

2

8

2

28

2

+

2

1

2

21

2

= 784 + 441

= 1225

l² = 1225

l = 35 cm

The slant height is 35 cm.

.Total surface area = πr(r + l)

=22/7*21(21+35)

= 22 x 3 x 56

= 3696

The total surface area of the cone is 3696