Answer:
a) Lateral area of the solid = 2011.43
b) Surface area of the solid = 2544
Step-by-step explanation:
a) Lateral area of the figure = 2rh
where; r is the radius of the cylinder, and h is its height.
Lateral area of the figure = 2 x x 10 x 32
= 2011.43
b) The surface area = 2r(r + h) - 2(
x b x h)
= 2r(r + h) - (b x h)
The height of the isosceles triangle can be determined by applying the Pythagoras theorem to have,
=
+
100 = 36 +
= 100 - 36
= 64
h =
= 8
h = 8 cm
The surface area of the solid = 2 x x 10 (10 + 32) - 12 x 8
= 2640 - 96
= 2544
The surface area of the solid is 2544 .