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a wooden toy block is in the shape of a cylinder. the toy block has a height of 4 inches and a diameter of 3 inches. how much does the toy block weigh if 1 cubic inch of wood weighs 0.55 ounces? round to the nearest tenth.

Respuesta :

Answer:

Step-by-step explanation:

2x^2-10x+7         A=1, B=-10. C=7

-(-10)±√-10^2-4(1)(7)

------------------------------

2(1)

10±√100-28

----------------

2

10±√72

-----------

2

10±8.485281374

            2

10+8.485281374 =9.24

10-8.485281374 =0.76

               2

Weight of wood block is 15.543 ounces.

Volume of cylinder:

Given that;

Height of block = 4 inches

Diameter of block = 3 inches

1 cubic inch of wood = 0.55 ounces

Find:

Weight of wood block

Computation:

Radius of block = 3 / 2

Radius of block = 1.5 inches

Volume of toy = πr²h

Volume of toy = (3.14)(1.5)²(4)

Volume of toy = (3.14)(2.25)(4)

Volume of toy = 28.26 cubic inch

Weight of wood block = Volume of toy × 0.55 ounces

Weight of wood block = 28.26 × 0.55 ounces

Weight of wood block = 15.543 ounces

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