Question

A solid object is made up of a hemisphere and a cylinder. The radius of the hemisphere is equals to the radius of the cylinder. If the height of a cylinder is 80cm and the height of the solid object is 94cm then find the surface area of that solid object.​

Answer 1

Answer:

1.46cm^2

Step-by-step explanation:

surface area of hemisphere is 3πrh

surface area of cylinder is πr(r+h)

height of solid object is 94cm from this we can conclude height of solid=height of cylinder+height (radius)of hemisphere

therefore,94cm=80cm+r

r=14cm

given that radius of cylinder=radius of hemisphere.

the surface area of solid object:

3πrh+πr(r+h)=3πrh+πr^2+πrh=4πrh+πr^2

=4π×14×10^-2×80×10^-2 + π×(14×10^-2)^-2

=π(4480×10^-4+196×10^-4)

=π×0.4676=1.46