Volume of a cone is 1212 cm³ and its height is 24cm. Find the surface area of the cone.(???? = 22/7)
Answers
Answered by
2
Step-by-step explanation:
volume = (1/3)*π*r^2*h
1212*3/(π*24) = r^2
r = 6.94 cm
surface area = π*r(r+ √(r^2+h^2))
= 21.81(6.94 +24.98)
= 696.27 cm^2
Answered by
8
Answer:
the surface area of the cone = 696.4 cm²
Step-by-step explanation:
Volume of a cone is 1212 cm³
Volume of a cone = (1/3)πr²h
h = height = 24 cm
r = radius = ?
1212 = (1/3)(π)r²*24
(π)r² = 151.5
=> r² = 48.2
=> r = 6.94 cm
surface area of the cone = πr² + πr(√h² + r²)
= 151.5 + (22/7)*6.94 * (24.98)
= 151.5 + 544.9
= 696.4 cm²
the surface area of the cone = 696.4 cm²
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