Conical area

A right angled triangle has sides a=12 and b=19 in right angle. The hypotenuse is c. If the triangle rotates on the c side as axis, find the volume and surface area of conical area created by this rotation.

Correct result:

V =  2422.4377
S =  988.0996

Solution:

a=12 b=19 c=a2+b2=122+192=50522.4722 c1=a2/c=122/22.47226.4079 c2=b2/c=192/22.472216.0643 h=c1 c2=6.4079 16.064310.1459 S1=π h2=3.1416 10.14592323.3912 V=(c1+c2) S1/3=(6.4079+16.0643) 323.3912/3=2422.4377
S=π h (a+b)=3.1416 10.1459 (12+19)=988.0996



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