a solid is in the form of a cone of vertical height h mounted on the top base of a - Maths - Surface Areas and Volumes

Question

a solid is in the form of a cone of vertical height h mounted on
the top base of a right circular cylinder of height 1/3 h the
circumference of the base of the cone and that of the cylinder are
both equal to C if V be the volume of the solid, prove that C=
root[(6 pi V) / h]

Brijendra P. · Accepted Answer

<img alt="" src=
"https://s3mn%20mnimgs%20com/img/shared/ck-files/ck_567fbe886464c%20png"
style="width: 268px; height: 348px;">
Here, C = 2πr
1V=13πr2h+πr2h3=23πr2hr2=3Vπhr=3VπhC=2×π3Vπh=4π2×3Vπh=6πVh

a solid is in the form of a cone of vertical height h mounted on the top base of a right circular cylinder of height 1/3 h. the circumference of the base of the cone and that of the cylinder are both equal to C. if V be the volume of the solid, prove that C= root[(6 pi V) / h]