Find the ratio between the total surface area of a cylinder to its cur

1.	Find the ratio between the total surface area of a cylinder to its curved surface area, given that its height and radius are 7.5 cm and 3.5 cm.
Answer» Given, Height of cylinder = 7.5 cm Radius of cylinder = 3.5 cm So, curved surface area of cylinder = 2πrh = \(2\times\cfrac{22}7\times\)7.5\(\times\)3.5 = 165 cm² Total surface area = 2πr(h + r) = 2\(\times\cfrac{22}7\times\)3.5\(\times\)11 = 242 cm² So, \(\cfrac{total\,surface\,area}{curved\,surface\,area}\) = \(\cfrac{242}{165}=\cfrac{22}{15}\)

Find the ratio between the total surface area of a cylinder to its curved surface area, given that its height and radius are 7.5 cm and 3.5 cm.

Answer»

Given,

Height of cylinder = 7.5 cm

Radius of cylinder = 3.5 cm

So, curved surface area of cylinder = 2πrh = \(2\times\cfrac{22}7\times\)7.5\(\times\)3.5 = 165 cm²

Total surface area = 2πr(h + r) = 2\(\times\cfrac{22}7\times\)3.5\(\times\)11 = 242 cm²

So, \(\cfrac{total\,surface\,area}{curved\,surface\,area}\) = \(\cfrac{242}{165}=\cfrac{22}{15}\)