Question

7. A pen stand is made of wood in the shape of cuboid with three conical depressions to hold
the pens. The dimensions of the cuboid are 15cm by 10 cm by 3.5 cm. The radius of each
of the depression is 0.5 cm and the depth is 1.4cm. Find the volume of wood in the entire
stand​

Answer 1

Answer:

Step-by-step explanation:

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(πr^2h)

Radius(r)=0.5cm

Height(h)=1.4cm

⇒ Volume taken out=  

4/4 (22/7x0.5x0.5x1.4)  

=1.1cm^3

 

⇒ Volume of wood in stand=525−1.1

=523.9cm ^3

or, 524 cm^3 (approx.)

How satisfied are you with the answer?

Answer 2

Answer:

Check your answer please