SOLUTION: a circular piece of paper of radius 20 cm is cut in half and each half is made into a hollow cone by joining the straight edges. Find the slant height and the base radius of each c
Algebra.Com
Question 980523: a circular piece of paper of radius 20 cm is cut in half and each half is made into a hollow cone by joining the straight edges. Find the slant height and the base radius of each cone
Answer by ikleyn(52800) (Show Source): You can put this solution on YOUR website!
The slant height of the cone is equal to the radius of the original circular piece of paper, i.e 20 cm. It is obvious.
Now, let x be the radius of the base of the cone.
Then the length of the circle at the base of the cone is 2*pi*r. From the other side, it is equal to the length of the half-circle of the radius 20 cm.
Thus we have the equation
= .
Hence, x = 10 cm.
Answer. The slant height of the cone is 20 cm. The radius of the base of the cone is 10 cm.
RELATED QUESTIONS
A circular sheet of paper of radius 6 cm is cut into three equal sectors, and each sector (answered by Earlsdon)
A quadrant of a circle of radius 4 cm is cut from a paper and uniformly curved into a... (answered by ikleyn)
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 has a 5 cm radius. It is cut once through to the centerand... (answered by Alan3354)
a rectangular piece of paper has a length of 25cm and a breadth of 20 cm. The piece of... (answered by josgarithmetic)
a bowl is made by cutting into half a hollow sphere of external diameter50.8cm, made of... (answered by mananth)
A cylinder and a cone start with the same radius and height. The radius of the cone is... (answered by Fombitz)
The volume of ice-cream in the cone is half the volume of the cone. The cone has a 3 cm... (answered by addingup)