# Cylinders

Area of the side of two cylinders is same rectangle of 33 mm × 18 mm.

Which cylinder has a larger volume and by how much?

Result

Δ V =  709 mm3

#### Solution:

$V = \pi r^2 h \ \\ a = 33 \ mm \ \\ b = 18 \ mm \ \\ \ \\ r_1 = a/(2\cdot \pi) \ \\ V_1 = \pi r_1^2 b \ \\ \ \\ V_1 = \dfrac{ 18^2 \cdot 33 } { 4 \pi } = 850.84 \ mm^3 \ \\ \ \\ r_2 = b/(2\cdot \pi) \ \\ V_2 = \pi r_2^2 a \ \\ \ \\ \ \\ V_2 = \dfrac{ 33^2 \cdot 18 } { 4 \pi } = 1559.88 \ mm^3 \ \\ \ \\ \Delta V = | V_1 - V_2 | = 709 \ \text{mm}^3$ Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

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