A solid is in the shape of a cone standing on a hemisphere with both their radii being equal to $1cm$ & the height of the cone is equal to its radius. Find the volume of the solid in terms of $\color{red}{\pi}$.

Question

theviper · Answer

@experimentX :)

experimentx · Answer

do you know how to find the volume of cone??

theviper · Answer

yes $\large{\dfrac{1}{3}\pi r^2h}$

experimentx · Answer

|dw:1361304057186:dw|

theviper · Answer

$\large{\dfrac{2}{3}\pi r^3=\dfrac{2\pi}{3}(1)^3=\dfrac{2\pi}{3}}$

experimentx · Answer

okay ... put the value (for cone) r=h=1 ... and add those two.

theviper · Answer

$\large{\dfrac{1}{3}\pi r^2h=\dfrac{1}{3}\pi (1)^2\times1=\dfrac{\pi}{3}}$

theviper · Answer

now $\large{\dfrac{2\pi}{3}+\dfrac{\pi}{3}=\dfrac{3\pi}{3}=\pi^3}$ ??

theviper · Answer

oh yes thanx :)