The sides contains right angle of a right angled triangles. Are 8cm and 6cm .it is related about the side of 8cm.Find the total surface area of the formed solid.
Answers
Answer:
Given:
The sides of a right angled triangle are 8 cm and 6 cm.
To find:
the volume and total surface area of the solid formed.
Solution:
1) In the given triangle the hypotenuse of the triangle must be 10 cm by the Pythagoras theorem.
2) If the given triangle is rotated by the hypotenuse then the resultant figure we get as the two cone whose common chord must given by 8×6/10 = 4.8 cm.
3) Volume of the figure given by the addition of the volume of the two cones
v = πr²h
= 22/7×4.8×4.8×10
= 723.456 cm³
4) The total surface area of the solid is given by the CSA of the two solid cones:
A = πr(L₁+L₂)
= 22/7×4.8(8+6)
= 21.94 cm²
The volume and total surface area of the solid formed 723.456 cm³ and 21.94 cm².
Step-by-step explanation: