Question

FIND THE VOLUME OF CONE IF IT'S TOTAL SURFACE AREA IS 7128 SQ.CM AND RADIUS OF BASE IS 28 CM.

Answer 1

by this formula
$1 \div 3 \times\pi \times rcube$

Answer 2

to find the volume of the cone,we should find the height of the cone.

we know the relation b/w slant height ,radius and height

formula: l^2=r^2 + h^2

we found l by substituting tsa formula to be 53cm

so height =( l^2-r^2) root
= (53^2-28^2)root
= 2809-784
root 2025
=45cm

now formula for volume of cone = 1/3 * pi * r * r * h
= 1/3 * 22/7 * 28 * 28 * 45
15 * 88 * 28
36960cm^3