If a big cylinder has the radius of 24cm and a height of 18cm, what would the height be for the smaller cylinder with 4cm as the radius?
From his house,Jason rode his bike 4/3 miles to the post office. he then rodein the same directionto the park, which is 1/4 of a mile from the post office. How far did Jason ride?
To find the height of the smaller cylinder, we can use the concept of similar shapes. Since both cylinders are similar, their corresponding dimensions (radius and height) are in proportion.
Let's denote the height of the smaller cylinder as 'h'.
According to the properties of similar shapes, the ratios of corresponding dimensions are equal. Therefore, we can set up the following proportion:
radius of bigger cylinder / radius of smaller cylinder = height of bigger cylinder / height of smaller cylinder
Substituting the given values:
24 cm / 4 cm = 18 cm / h
To solve for 'h', we cross-multiply and solve the resulting equation:
24 cm * h = 4 cm * 18 cm
24h = 72 cm
Dividing both sides by 24 cm:
h = 72 cm / 24 cm
h = 3 cm
Therefore, the height of the smaller cylinder with a radius of 4 cm would be 3 cm.