SOLUTION: Find the total surface area of a cone of base radius 8cm and vertical angle 60

Algebra.Com
Question 969942: Find the total surface area of a cone of base radius 8cm and vertical angle 60
Answer by macston(5194)   (Show Source): You can put this solution on YOUR website!
.
The vertical angle is 60 degrees so a 30-60-90 triangle is formed with the height as the shorter leg, the radius as the longer leg, and the slant height as the hypotenuse.
To find the surface area we need the slant height (hypotenuse)
For a 30-60-90 right triangle:(radius=longer leg,hypotenuse=slant height)
.

.

.

.

.
The total surface area of a cone is area of base + lateral surface area:
A=surface area; r=radius=8cm; s=slant height=9.24cm
.















RELATED QUESTIONS

A sector of a circle 7cm subtending an angle 210 at the centre of the circle, is used to... (answered by josgarithmetic,KMST)
A cone has a slant height of 9cm and curved surface 65πcm^2 find: (a) The base radius... (answered by mananth)
A cone has a slant height of 9cm and curved surface 65cm^2 find: (a) The base radius of (answered by Solver92311)
A right circular cone has an altitude of 20 cm and a base of radius 4 cm. Find the... (answered by Greenfinch)
the total surface area of a cone is 628 Cm2.If its slant height is 17 Cm. find the... (answered by macston)
the slant height of a cone is twice it's base radius r, express the total surface area of (answered by greenestamps)
A cone of height 12cm has a volume of n cm cubed and a curved surface area of n cm... (answered by greenestamps)
A vertical cone has base diameter 16cm and slant height 17cm. Find the (1) curved surface (answered by MathLover1)
A sector of a circle of radius 8cm subtends an angle 90 degrees at the centre of the... (answered by stanbon)