in the figure two hemisphere of radius 5 centimetre is talk to each ends of the cylinder of height 10 cm find the total surface area of a solid
Answers
Answered by
2
Answer:
brainliest
Step-by-step explanation:
let 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(2πr2)TSA=2πrh+4πr2TSA=2πr(h+2r)TSA=2∗722∗3.5(10+2∗3.5)=22∗(10+7)TSA=374 cm2
Answered by
1
Answer:
tsa = 2*3πr² + 2πr(r+h)
=2πr(3r +r+h)
=2*22/7*5 (4*5+10)
= 220*30/7
= 6600/7 cm ²
Similar questions