A lamp shade is in the form of a frustrum of a cone the button ra duis is thrice the top raduis and the height is 14cm the volume of the lamp shade is 763cm find the button of the raduis , the area of the clothes to cover the lamp shade

4 answers

frustrum?
button?
ra
duis?
raduis?
button of the raduis?
clothes?

Please proofread and correct.
Also include appropriate punctuation and capitalization.
I think you have two cones, same top, same shape, one ending at the top, the other ending at the bottom.
You have the ratio of radii and the difference in volumes. The difference in heights of the two cones is 14cm.

volumetop=1/3 PI*r^2(h)
volumebottom=1/3 pi(2r)^2(h+14)
no subtracting the top from the bottom, you get the volume given. That ought to be enough.

763=1/3 (PI)r^2*(8(h+14)-h)
solve for r, the top radius. Then bottom radius is twice that.

Surface area=PI(rtop+rbottom)/2 * 14
and you have it.
I agree with Ms Sue, you did a sloppy job of proofing if done at all.