Question

Find the volume of a spherical sector of a sphere whose surface area is 437π m^2, if the height of the zone base is 5 m

Answer 1

Excluding the sides of the cone and just considering the sector, surface area =2πrh, where r=radius and h=zone height, so since h=5m, 10πr=437π and r=43.7m. The volume is πh²(r-h/3)=25π(43.7-5/3)=1050.83π approx=3301.29 cubic metres.