problem 3:
A cone has a volume of 1 642 cm³ and a radius of 14 cm.
a) calculate the height
b) calculate the length of the slent
c) calculate the surface area
answer:
a) answer height:
V = r² * π * h : 3
1 642 = 14² * π * h : 3 / * 3
4 926 = 196 * π * h / : 196
25.13… = π * h / : π
h = 8 cm
A: The height is 8 cm.
b9 answer length of the slant:
s = √r² + h²
s = √(14² + 8²)
s = 17.89 cm
A: The length of the slant is 17.89 cm.
c) answer surface area:
A = r² * π + r * π * s
A = 14² * π + 14 * π * 17.89
A = 1 402.6 cm²
A: The surface area is 1 402.6 cm².