Question

A wooden article was made by scooping out . A hemisphere from each ends of solid hemisphere . if the height of a cylinder 10cm . it base of radius 3.5 cm . find volume of remaining article

Answer 1

Answer:

the original height of cylinder = 10cm

base radius of cylinder = 3.5cm

so base radius of hemisphere = 3.5cm(same as that of cylinder)

The total surface area would be the sum of curved surface area of cylinder and the surface areas of 2 hemispheres.

surface area of cylinder = 2πrh

surface area of one hemisphere = 2πr²

\begin{lgathered}TSA=2 \pi rh+2(2 \pi r^2)\\TSA=2 \pi rh+4 \pi r^2\\TSA=2 \pi r(h+2r)\\TSA=2* \frac{22}{7}*3.5(10+2*3.5)=22*(10+7)\\TSA=\boxed{374\ cm^2}\end{lgathered}

TSA=2πrh+2(2πr

2

)

TSA=2πrh+4πr

2

TSA=2πr(h+2r)

TSA=2∗

7

22

∗3.5(10+2∗3.5)=22∗(10+7)

TSA=

374 cm

2