Question

Can someone help me with this plsssss

Answer 1

Answer:

15 cm

Step-by-step explanation:

Given:

The two cylinders shown in the figure are similar to each other.

Therefore, when two figures are similar their measures are in proportion.

So, radius and height of both the cylinders are in proportion.

Radius of both the cylinders are 2 cm and 5 cm respectively. Height of the smaller cylinder is 5 cm. Now,

$\frac{2}{6}=\frac{5}{x}$

Doing cross multiply, we get:

$2x=6\times 5\\2x=30$

Dividing both sides by 2, we get:

$\frac{2x}{2}=\frac{30}{2}\\x=15\ cm$

Therefore, the height of the larger cylinder must be 15 cm in order to make both the cylinders similar to each other.