Question

Find volume of cubiodial pen stand with length 6 cm, bredth 4 cm, height 3cm.and 3 conical depression wth radius 2cm and height 1.5 cm​

Answer 1

$\huge{\mid{\fbox{Answer}}\mid}$

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vol. of cuboid = 15*10*3.5

                      = 525 cm^3

vol. of wood taken out from four cavities = 4*1/3*22/7*0.5*0.5*1.4

                                                                 = 22/15

                                                                 = 1.47 cm^3 (approx)

vol. of wood in entire stand = 525-1.47

                                            = 523.53 cm^3

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Answer 2

Answer:

Dimensions of the pan stand are

l=15cm

b=10cm

h=3.5cm

⇒ Volume=l×b×h

=15×10×3.5

=525cm

3

4 conical depressions are taken out to make pen holders.

⇒ Volume taken out =4(volume of one cone)

=4(

3

1

πr

2

h)

Radius(r)=0.5cm

Height(h)=1.4cm

⇒ Volume taken out=

3

4

×

7

22

×0.5×0.5×1.4

=1.466cm

3

⇒ Volume of wood in stand=525−1.466

=523.534cm

3

=523.53cm

3

.