from a solid cylinder of height 36 cm and radius 14 cm a conical cavity of radius 7 cm and height 24 cm is drilled out find the volume and the total surface area of remaining solid
Answers
Answer:
Vol. 20944 cm^3 , S.A. 4796 cm^2
Step-by-step explanation:
Vol. of Cylinder = 22/7* Radius^2 * Height , Total SURFACE AREA OF CYLINDER = 2*(22/7)*RADIUS(radius + height )
Vol. of cone = (1/3) (22/7) (Radius^2 ) * Height
Lateral Surface area of cone = (22/7)*radius*slant height
Vol. of Cylinder= (22/7) * 14 * 14 *36
Vol of Cone = (1/3) (22/7) *7*7*24
Vol. of cylinder- Vol. of cone = (22/7) (14*14*36 - (7*7*24/3)
22/7( 7056- 392)
22/7*6664
20944 cm^3
Tsa of remaining solid = 44/7*14(14+36) + 22/7*7*25 - (22/7 * 7 *7 )
4400- 154 + 550
4796 cm^2
L = root(h^2+r^2)
L = root (625)
L = 25 cm
Please cross check the calculations once again as I am not good at calculations.
If this solution helped you please marked it as THE BRAINLIEST
Step-by-step explanation:
I hope you got it,
Volume = 20944 cm3
T.S.A. = 4796 cm2
All the best..................
