problem 2:
A cone has an height of 15 cm and the length of the slent is 22 cm.
a) calculate the radius
b) calculate the surface area
c) calculate the volume
answer:
a) answer radius:
r = √s² – h²
r = √(22² – 15²)
r = 16.09 cm
A: The radius is 16.09 cm.
b) answer surface area:
A = r² * π + r * π * s
A = 16.09² * π + 16.09 * π * 22
A = 1 925.38 cm²
A: The surface area is 1 925.38 cm².
c) answer volume:
V = r² * π * h : 3
V = 16.09² * π * 15 : 3 (π = 3.1415..)
V = 4 066.6 cm³
A: The volume is 4 066.6 cm³.