Question

Mayank, an engineering student, was asked to make a model shaped like a cylinder with two

cones attached at both ends with thin film sheet. The radius of the model is 4 cm and the total

height is 13 cm. If each cone has height 3 c m. Find the volume of the air contained in the

model.​

Answer 1

Step-by-step explanation:

Multi Choice Type Question

Marks : 2 Negative

If 5 cows and 2 goats working together can graze four times

per hour as a cow and a goat together, the ratio of the amoun

grazing by a cow and that by the goat is

Answer 2

Answer:

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>>Rachel, an engineering student, was aske

Question

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Rachel, an engineering student, was asked to make a model shaped like a cylinder with two cones attached at its two ends by using a thin aluminium sheet. The diameter of the model is 3 cm and its length is 12 cm. If each cone has a height of 2 cm, find the volume of air contained in the model that Rachel made. (Assume the outer and inner dimensions of the model to be nearly the same.)

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Hard

Solution

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Correct option is A)

For the given statement first draw a diagram,

In this diagram, we can observe that

Height (h

1

) of each conical part =2 cm

Height (h

2

) of cylindrical part 12−2−2=8 cm

Radius (r) of cylindrical part = Radius of conical part =

2

3

cm

Volume of air present in the model = Volume of cylinder + 2× Volume of a cone

=πr

2

h

2

+2×πr

2

h

1

=π(

2

3

)

2

×8+2×

3

1

π(

2

3

)

2

(2)

=π×

4

9

×8+

3

2

π×

4

9

×2

=18π+3π=21π

=21×

7

22

=66 cm

2