Mathematics: Two jugs are similar. The smaller jug has radius 4cm and the bigger jug has radius 6cm and surface area 125cm2. The smaller jug has a volume of 400cm. Calculate the area of the smaller jug.

(3,8)-5 is 4 units right, so do the opposite, 4 units left. 2 is 3 units down so do 3 units up...

Two jugs are similar. The smaller jug has radius

julian1260

30.04.2021

Given:

Two jugs are similar. The smaller jug has radius 4 cm and the bigger jug has radius 6 cm and surface area 125 cm².

To find:

The area of the smaller jug.

Solution:

If two figures are similar, then the ratio of their areas is proportional to the square of the corresponding sides of the figures.

Two jugs are similar. So,

$\dfrac{\text{Area of smaller jug}}{\text{Area of bigger jug}}=\dfrac{(\text{Radius of smaller jug})^2}{(\text{Radius of bigger jug})^2}$

$\dfrac{\text{Area of smaller jug}}{125}=\dfrac{(4)^2}{(6)^2}$

$\dfrac{\text{Area of smaller jug}}{125}=\dfrac{16}{36}$

$\text{Area of smaller jug}=\dfrac{4}{9}\times 125$

$\text{Area of smaller jug}\approx 55.56$

Therefore, the area of the smaller jug is about 55.56 cm².

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