Question

A rectangular sheet of metal has a length of 42 cm and a breadth of 100 cm. It is folded to form a cylinder with the breadth becoming the height. Calculate a) the radius of the cylinder formed b) the volume of the cylinder [Take 1 = 22) ] ​

Answer 1

Si el ancho de 100 cm de la hoja se convierte en la altura del cilindro, la longitud de 42 cm debe ser su circunferencia.[matemáticas]\ C = 2 \pi r \implica r = \frac{C}{2 \pi} \approx \boxed{6.68 \ \mathrm{cm}}.[/matemáticas]

[matemáticas]V = \pi r^2h = \dfrac{C^2 \cdot h}{4 \pi} = \dfrac{\left(42 \ \mathrm{cm}\right)^2 \cdot 100 \ \ mathrm{cm}}{4 \pi} \approx \boxed{14\,037.5 \ \mathrm{cm^3}}.[/math]
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