SOLUTION: A sector of angle 65° is removed to form a thin circular sheet of radius 15cm and folded to form a right circular cone. Calculate the volume of the cone
Algebra.Com
Question 1206673: A sector of angle 65° is removed to form a thin circular sheet of radius 15cm and folded to form a right circular cone. Calculate the volume of the cone
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
A sector of angle 65° is removed to form a thin circular sheet of radius 15cm and folded to form a right circular cone. Calculate the volume of the cone
Volumeof cone = 1/3 * pi*r^2*h
we need to find h the height and radius of base of cone (r)
Area of sector = ((theta)/360 )* pi*r^2
A=(65/360)*pi*15^2
A= 127.627 cm^2
When folded the area of sector will be the lateral surface area of cone = pi*r*l.
radius of sector will become the slant height of cone
pi*r*15= 127.627
r=127.627/ (15*pi)
r=2.708 cm
h= sqrt(l^2-r^2)
h = sqrt(15^2-2.708)^2)= 14.75
Volume of cone = (1/3) *pi*(2.708)^2*14.75
= 113.27 cm^3
RELATED QUESTIONS
a) The area of a sector of a circle with diameter 12cm is 6.6cm², if the sector is... (answered by mananth)
A sector of circle has a radius 4cm. It is folded over to form a circular cone. Find the... (answered by ankor@dixie-net.com)
A sector with an angle 110 degrees at the center of a circle is cut away from a circular... (answered by mananth)
from a circular sheet of paper of radius 25 cm a sector area 4% is removed. if the... (answered by Theo)
A circular sector AOB, centre O and radius 8 cm, contains an angle of {{{3pi/4}}} radians (answered by greenestamps)
A sheet of metal in the form of a sector of a circle of angle 90 degrees and radius 16cm... (answered by khwang)
A circular sector AOB, centre O and radius 8 cm, contains an angle of {{{3pi/4}}} radians (answered by josmiceli)
A sector is folded to form a cone. If the radius of the cone is 3cm, find
a) the exact... (answered by greenestamps)
Wood is removed from a wooden right circular cylinder of diameter 10cm and height 15 cm... (answered by addingup)