Sarah needs to paint the outside
of ten identical containers that are
shaped like a cylinder. One can of
paint covers 400 sq ft. Using the
net of the cylinder, how many cans
of paint will be needed to paint all
the containers?

Question

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Respuesta :

vintechnology vintechnology · Answer 1 · 2022-08-30T16:35:01+02:00

The number of cans of paint needed to paint the container is 2

The surface area of a cylinder can be found as follows;

surface area of a cylinder = 2πr(r + h)

where

Hence,

r = 4 / 2 = 2 ft

h = 4 ft

Therefore,

Surface area of the cylinder = 2 × π × 2(2 + 4)

Surface area of the cylinder = 2 × π × 2(6)

Surface area of the cylinder = 4π(6)

Surface area of the cylinder = 24π ft²

1 container = 24π ft²

10 containers = 240π ft²

Therefore,

400 ft² = 1 can of paint

240π ft² = ?

number of can of paint required = 753.6 / 400

number of can of paint required = 1.884

number of can of paint required = 2

Therefore, the number of cans of paint needed to paint the container is 2

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