problem 4:
A cone has a surface area of 1 840 m² and a radius of 16 m.
a) calculate the length of the slent
b) calculate the height
c) calculate the volume
answer:
a) answer length of slent:
A = r² * π + r * π * s
1 840 = 16² * π + 16 * π * s / – 16² * π
1 035,75…. = 16 * π * s / : 16
64.73… = π * s / : π
s = 20.61 m
A: The length of the slent is 20.61 m.
b) answer height:
h = √s² – r²
h = √(20.61² – 16²)
h = 12.99 m
A: The height is 12.99 m.
c) answer volume:
V = r² * π * h : 3
V = 16² * π * 12.99 : 3
V = 3 482.39 m³
A: The volume is 3 482.39 m³.