Respuesta :
the volume of the frustum =(1/3)h[a1+a2]+√(a1 a2) where a1=bottom area,a2=top area and h=height
a1=100sa.inch
a2=25 sq.inch and
h=12inch
so the volume =(1/3)(12)[100+25+√(100*25)]
=4*[125+50]
=4*175=700 cubic inches or [inch cubed]
a1=100sa.inch
a2=25 sq.inch and
h=12inch
so the volume =(1/3)(12)[100+25+√(100*25)]
=4*[125+50]
=4*175=700 cubic inches or [inch cubed]
by similar triangles 3/5 = x / 12
x = 36/5 = 7.2
volume of frustum = 1/3 * 5^2 * 12 - 1/3 * 3^2 * 7.2
= 100-21.6
= 78.4 in^3
x = 36/5 = 7.2
volume of frustum = 1/3 * 5^2 * 12 - 1/3 * 3^2 * 7.2
= 100-21.6
= 78.4 in^3