SOLUTION: A circular piece of paper has a 5 cm radius. It is cut once through to the centerand curled up to form a model of a cone with a height of 4 cm. Find the volume and surface area o

Algebra.Com
Question 450737: A circular piece of paper has a 5 cm radius. It is cut once through to the centerand curled up to form a model of a cone with a height of 4 cm. Find the volume and surface area of the cone.
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
A circular piece of paper has a 5 cm radius. It is cut once through to the centerand curled up to form a model of a cone with a height of 4 cm. Find the volume and surface area of the cone.
----------------
The slant height is the radius of the paper = 5 in
The radius of the cone's base is inches
-------------
The volume of the cone is

----------
The surface area of the base is
The lateral surface area = pi*slant ht*r
= 15pi
---------
Add the appropriate units

RELATED QUESTIONS

A circular piece of paper has a 5 cm radius. It is cut once through to the center and... (answered by Theo)
A circular piece of paper has a radius of 15 in, which is cut off at a 90 degree angle.... (answered by scott8148)
a circular piece of paper of radius 20 cm is cut in half and each half is made into a... (answered by ikleyn)
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)
A solid metal ball of radius 2 cm is melted and the metal obtained recast to form a solid (answered by Fombitz,mananth)
A quadrant of a circle of radius 4 cm is cut from a paper and uniformly curved into a... (answered by ikleyn)
A circular sheet of paper of radius 6 cm is cut into three equal sectors, and each sector (answered by Earlsdon)
A piece of paper is in the shape of a sector of a circle whose radius is 12 cm and the... (answered by ankor@dixie-net.com)