On a scale drawing of a building lot, 1 inch equals 12 feet. The building lot is 114 feet wide.
2 answers:
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Answer:
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