Many of the amenities at a local ski hill are operated using gas generators. To transport gasoline to the top of the mountain, a

Question

2 years ago

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Many of the amenities at a local ski hill are operated using gas generators. To transport gasoline to the top of the mountain, a

special trailer has been designed. The trailer bed is in the shape of a square with a side length of 1.5 m. They wish to attach a cylindrical shaped gas tank to the trailer which is as large as possible, but cannot be taller than the trailer bed is. Determine the dimensions, volume and surface area of the gas tank.

Mathematics

1 answer:

9966 [12] · Answer 1 · 2023-02-13T19:33:29+03:00

The Dimension of the Cylinder: Height = 1.5 m and radius = 0.75 m

Volume of Cylinder = 2.649 m³

Surface Area = 10.59 m²

<h3>What is Cylinder?</h3>

A cylinder is a three-dimensional solid figure which has two identical circular bases joined by a curved surface at a particular distance from the center which is the height of the cylinder.

Here, Trailer bed dimension = 1.5 m X 1.5 m

So, height of the cylindrical = 1.5 m

Radius = 1.5/2 = 0.75 m

Now, Volume of Cylinder = πr²h

= 3.14 X (0.75)²X1.5

= 2.649 m³

Surface area of cylinder = 2πrh + 2πr²

= 2πr (h + r)

= 2 X 3.14 X 0.75 ( 1.5 + 0.75)

= 10.59 m²

Thus, The Dimension of the Cylinder: Height = 1.5 m and radius = 0.75 m

Volume of Cylinder = 2.649 m³