Question

what is the volume of the largest cone that can be inscribed completely in a hollow hemisphere of radius 7cm?

Answer 1

radius of cone=height of cone=radius of hemisphere=7 cm.
vol. of cone= 1/3×pie×r ^2×h

=1/ 3×22/7×7×7×7 cubic cm.

= 22×7×7/ 3 cubic cm

=1,078/ 3 cubic cm

Answer 2

Volume of the largest cone is  359.34 cm³

Step-by-step explanation:

given data

radius = 7 cm

to find out

volume of the largest cone

solution

when a largest cone is inscribed completely in hollow hemisphere

then there Radius of hemisphere will be equal to Height and radius of cone

so here

height of cone = 7 cm

so here

volume of cone is express as

volume of cone = $\frac{1}{3} \pi r^2h$    ...................1

put here value and we will get

volume of cone = $\frac{1}{3} \pi \times 7^2\times 7$

volume of cone = 359.34 cm³

so volume of the largest cone is  359.34 cm³

Learn more :

What is the volume of the largest cone  .....

1. https://brainly.in/question/2336370