contestada

A fuel tank is in the shape of a right circular cylinder. The radius of the base and height of the tank are

10

feet and

25

feet, respectively. Due to safety measures, the tank can be filled to only

80

%

of its capacity.


If

100

cubic feet of fuel are equal to

2. 78

gallons, what is the maximum number of whole gallons of fuel the tank can contain due to safety measures?

Respuesta :

The maximum number of whole gallons of fuel the tank can contain due to safety measures is 174.584 gallons

Volume of a cylinder

  • v = πr²h

r = radius

h = height

Therefore,

r = 10 ft

h = 25 ft

The tank can only be 80% filled due to safety measures. Therefore,

v = 3.14 × 10² × 25

v = 3.14 × 100 × 25

v = 3.14 × 2500

v = 7850 ft³

80% capacity of 7850 ft³  is as follows:

80 / 100 × 7850 = 628000 / 100 = 6280 ft³

100 ft³ = 2.78 gallons

6280 ft³ = ?

cross multiply

maximum number of whole gallons  = 6280 × 2.78 / 100 = 17458.4 / 100 = 174.584 gallons

Therefore, the maximum number of whole gallons of fuel the tank can contain due to safety measures is 174.584 gallons

learn more on cylinder here: https://brainly.com/question/1780981

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