Free help with homework

Why join Brainly?

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

A hemisphere is cut out from one face of a cubical wodden block such that the diameter of the hemisphere is equal to the length of the cube. determine the

surface area of the remaining solid


If a hemisphere is cut out from one face, the surface area of remaining solid = total surface area of cube - base area of hemisphere + lateral surface area of hemisphere

Let the side of cube = a
radius of hemisphere = a/2

TSA of cube = 6a²
base area of hemisphere = π(a/2)² = πa²/4
LSA of hemisphere = 2π(a/2)² = πa²/2

So surface area of remaining solid = 6a² - πa²/4 + πa²/2
= 6a² + πa²/4
= (24a² + πa²) /4

 \frac{24+ \pi}{4}\ a^2

Surface area is   \frac{24+ \pi}{4}\ a^2
0 0 0
A tank can be filled by one tap in 20 minutes and buy another in 25 minutes wap.in are kept open for 5 minutes and then the second is turned off in how many more minutes is completely filled
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