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Tubul buys a cylindrical water thank of height 1.4m and diameter 1.1m to catch rainwater off his roof.he has full 2 litres tin paint in his store and decided to paint the thank (not to the base)if he has 250 ml to cover the 1m2 will he have enough paint to cover the thank with one layer of paint (take 3.142)

Respuesta :

Answer:

Tubul needs

1.45 L to paint interior of tank, and

1.21 L to exterior of tank

for a total of

2.66 L to paint both interior and exterior of the tank (except exterior base).

He needs an extra 0.66L to do a complete job!

Note: It is not clear if Tubul wants to paint the interior (important) or exterior (beautiful) or both (important and beautiful) surfaces of the tank.

Step-by-step explanation:

Given:

Tank

Height, h = 1.4m

Diameter, d = 1.1m

Paint required = 0.25L / m^2

Interior surface area,  

Ai = pi*d^2/4 + pi*d*h   (includes base, no cover)

= pi*1.1^2/4 + pi*1.1*1.4 = 0.95 + 4.84 sq.m

= 5.79 sq.m.

Paint required to paint interior

=  5.79 * 0.25

= 1.45L

exterior surface area,

Ax = pi*d*h (excludes base, no cover)

= pi * 1.1 * 1.4

= 4.84 sq.m.

Paint required to paint exterior

= 4.84 * 0.25

= 1.21L

Paint required to paint both interior AND exterior, except base of exterior

= 1.45 + 1.21

= 2.66L

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