Question

a cone has a circular base of radius 6m and volume 84pi m3. the height of cone is--------------

Answer 1

$\sf{ANSWER:}$

$\sf \:h= 7m$

$\sf\:GIVEN:$

$\sf \:Volume=84\pi{m}^{3}$

$\sf \:Radius=6m$

$\sf TO\: FIND$

$\sf \:Height=??$

$\sf \:FORMULA:$

$\sf \:V=1/3 \times\pi r^2h$

$\sf \:EXPLANATION:$

$\sf \:84\pi= 1/3 \times πr^2h$

$\sf\: h= (84 \times3)/(6)^2$

$\sf \:h= (252)/36$

$\sf\: h= 7m$

EXTRA POINTS:

• VOLUME OF CYLINDER =3 × VOLUME OF CONE, WHERE RADIUS AND HEIGHT OF THE CONE AND CYLINDER ARE SIMILAR
• AMONG THE SHAPES HAVING EQUAL VOLUME SPHERE HAS THE HIGHEST SURFACE AREA.