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dexar [7]
3 years ago
11

Cylinders A and B are similar. The volume of cylinder A is 20mm3. Calculate the volume of cylinder B.

Mathematics
1 answer:
MrRa [10]3 years ago
5 0

The question is incomplete. The complete question is :

Cylinders A and B are similar. The length of the cylinder A is 4 mm and the length of cylinder B is 6 mm. The volume of cylinder A is 20mm3. Calculate the volume of cylinder B.

Answer:

67.5 mm^3

Step-by-step explanation:

Given that :

Cylinder A and cylinder B are similar.

Let volume of cylinder A = 20 mm^3

We know the volume of a cylinder is given by V = $\pi r^2 h$

where, r is the radius of the cylinder

            h is the height of the cylinder

We have to find the scale factor.

The length scale factor is = $\frac{6}{4}$

                                          $=\frac{3}{2}$

Area scale factor $=\left(\frac{3}{2}\right)^2$

                           $=\frac{9}{4}$

∴ Volume scale factor $=\left(\frac{3}{2}\right)^3$

                                     $=\frac{27}{8}$

Therefore, the volume of cylinder B is $=20 \times \frac{27}{8}$

                                                               = 67.5 mm^3

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