Question

determine which of these cylinders has the largest surface area and show work

a. a cylinder with a height of 8cm and a base with a radius of 3cm

b. a cylinder with a height of 4 cm and a base with a radius of 8cm

c. a cylinder with a height of 8cm and a base with a radius of 4cm

d. a cylinder with a height of 6cm and a base with a radius of 3cm

Answer 1

As we know that,

Total surface area of a cylinder with a height(h) and a base with radius(r) is given by

Therefore,

For (a):

= 2×3.14×3×11 = 207.24 cm²

^{For (b):}

= 2×3.14×8×12 = 602.88 cm²

^{For (c):}

= 2×3.14×4×12 = 301.44 cm²

For (d):

= 2×3.14×3×9 = 169.56 cm²

Hence,

Cylinder of part(b) has the largest surface area.