# Height of a Solid Cylinder is 10 Cm and Diameter 8 Cm. Two Equal Conical Hole Have Been Made from Its Both Ends. If the Diameter Oaf the Holes is 6 Cm and Height 4 Cm, Find - Mathematics

Height of a solid cylinder is 10 cm and diameter 8 cm. Two equal conical hole have been made from its both ends. If the diameter of the holes is 6 cm and height 4 cm, find (i) volume of the cylinder, (ii) volume of one conical hole, (iii) volume of the remaining solid.

#### Solution

Height = 10 cm.

 = 8/2

=4 cm.

(i) Volume of cylinder

=pir^2h

= pi xx (4)^2 xx 10
= $160\pi {cm}^3$

(ii) Volume of conical hole diameter of

cone = 6 cm.

radius =6/2

=3 cm.

height = 4 cm.

volume =1/3 pi (7) h

=1/3 pi .9.4

= 12 pi cm^3

(iii) Volume of remaining solid

=160 pi - 2 xx (12pi)

=160pi - 24 pi

= $136\pi {cm}^3$

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#### APPEARS IN

RD Sharma Class 10 Maths
Chapter 14 Surface Areas and Volumes
Q 42 | Page 83