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