Dautyros8enuroranie
Answered

1 ) Find the volume of a cylinder with diameter 22 in and height 15 in.

A22,796.4 in3
B5,699.1 in3
C1,796.08 in2
D330 in3

2 ) How do you find the volume of a prism or cylinder?

A½ x Area of Base x Height
B(2 x Area of Base) + (Perimeter x Height)
CArea of Base x Height
Dπd2 x h

3 ) Find the volume of a prism with a square base that is 5 cm by 5 cm and is 10 cm tall.

A2500 cm3
B300 cm2
C100 cm3
D250 cm3

Verified Answer :

meerkat18
  1. The volume of the cylinder is calculated through the equation, V = πr²h. Substituting the known values,
                     V = π(22 in/2)²(15 in) = 1815π in³ = 5701.99 in²
    2. The answer to this item is letter "C. area of the base x height".
    3. The volume of the prism is 5 x 5 x 10 cm or equal to 250 cm³.
david8644

Answer:

1.B. 5,699.1 in3

2.C. Area of Base x Height

3.D. 250 cm3

Step-by-step explanation:

To calculate the volume of a cylinder you have the next formula:

\(V=(\pi )(r^{2} )(H)\)

Since you are given the diameter you have to first calculate the radius:

\(r=\frac{D}{2}\)

\(r=\frac{22}{2}\)

\(r=11}\)

Now that you have the radius you can put the values inside the cylinder formula for the volume:

\(V=(\pi )(11^{2} )(15)\)

\(V=(3.14)(121)(15)\)

\(V=5,699.1\)

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The formula for any prism or cylinder is mutiplying the area of the base by the height, which would be like this:

\(V=(AB)(H)\)

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

To calculate the area of a prism with a square base you just have to use the formula for the prism:

\(V=(AB)(H)\)

No the area of the base would be:

\(AB=(S)(S)\)

Since it is a square, so the area of the base is:

\(AB=(S)(S)=(5)(5)=25\)

Now that you have the are of the base, you just multiply it by the height:

\(V=(AB)(H)\)

\(V=(25)(10)\)

\(V=250\)

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