Question

!!!!desperate for help.!!!! the cone and the cylinder have the same base and the same height. what is the ratio of the volume of the cone to the volume of the cylinder? choose one answer
A:1/3
B:2/5
C:1/2
D:1​

Answer 1

HELLO MATE

THIS IS NEHA TO HELP YOU WITH

HEIGHT = 5CM

BASE(RADIUS)=2CM

VOLUME OF CYLINDER=$\pi r^{2}h$

VOLUME OF CONE= $\frac{1}{3} \pi r^{2}h$

volume of cone= volume of cylinder

$\frac{1}{3}\pi r^{2}h= \pi r^{2}h\\ \\\pi$(get cancelled)

equation becomes↓

$\frac{1}{3}r^{2}h=r^{2}h\\ \\\frac{1}{3}*2^{2}*5 = 2^{2}*5\\\\\\frac{1}{3}*4*5=4*5$$\frac{1}{3}*20=20\\\\\frac{1}{3}=\frac{20}{20}$

answer= 1/3

option(a)

hope this helps

:)

Answer 2

the answer is A !! 1/3