Question

47. Height of a solid cylinder is 10 cm and
diameter 8 cm. Two equal conical holes
have been made from its both ends. If the
diameter of the hole is 6 cm and height 4
cm. The volume of remaining portion is
(a) 24 1 cm
(b) 367 cm
(c) 721 cm
(d) 136 cm​

Answer 1

Answer:

136

Step-by-step explanation:

Dimensions of Cylinder:

Height h=10 cm

Radius, r=4

Dimensions of Cones:

Height, H=4 cm

Radius, R=3 cm

The volume of Cylinder =πr  

2

h

The volume of two Cones =2πR  

2

H/3

Remaining volume= Volume of Cylinder-Volume of two Cones

V=πr  

2

h−2πR  

2

H/3

V=π16∗10−2π9∗4/3

V=160π−24π

V=136π cm  

3