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 $mm^3$

5 0

3 years ago

what's wrong? In an American Optometric Association survey 1009 adults were randomly selected and asked to identify what they wo

Aleks [24]

The problem with the question is that 51% of 1009 adults could not have said that their biggest fear was losing vision. The issue with 51% of 1009 is that you wont be left with a whole number, but a decimal instead. You cant have a decimal of a person.

7 0

3 years ago

Read 2 more answers

Find the height of a trapezoid given that it has an area of 650

Stella [2.4K]

the answer this question is h=20 ft

7 0

3 years ago

Read 2 more answers

Two boats leave the same port, heading in opposite directions. One boat travels at 10 miles per hour and the other boat travels

Natalka [10]

Answer: