Free help with homework

Why join Brainly?

  • ask questions about your assignment
  • get answers with explanations
  • find similar questions

A wooden article was made by scooping out a hemisphere from each end of a solid cylinder, as shown in given figure. If the height of the cylinder is 10 cm,

and its base is of radius 3.5 cm, find the total surface area of the article.
where is the figure?



This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
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

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}
0 0 0
The Brain
  • The Brain
  • Helper
Not sure about the answer?
Learn more with Brainly!
Having trouble with your homework?
Get free help!
  • 80% of questions are answered in under 10 minutes
  • Answers come with explanations, so that you can learn
  • Answer quality is ensured by our experts