the radius is 3

the slainght height is 8
the height is 6
Find the volume of the slainghted cylinder.- Use 3.14 for pi.

(1 point)
Responses

226.08 cubic centimeters
226.08 cubic centimeters

339.12 cubic centimeters
339.12 cubic centimeters

169.56 cubic centimeters
169.56 cubic centimeters

678.24 cubic centimeters

1 answer

To find the volume of a slanted cylinder (also commonly referred to as a right circular cylinder), we can use the formula for the volume of a cylinder, which is given by:

\[ V = \pi r^2 h \]

where:

  • \( V \) is the volume
  • \( r \) is the radius
  • \( h \) is the height
  • \( \pi \) is a constant (here you are using 3.14)

Given that:

  • The radius \( r = 3 \) cm
  • The height \( h = 6 \) cm
  • \( \pi \approx 3.14 \)

Plugging these values into the formula:

\[ V = 3.14 \times (3^2) \times 6 \]

Calculate \( 3^2 \):

\[ 3^2 = 9 \]

Now substitute back into the volume formula:

\[ V = 3.14 \times 9 \times 6 \]

Calculate \( 9 \times 6 \):

\[ 9 \times 6 = 54 \]

Now substitute:

\[ V = 3.14 \times 54 \]

Calculate \( 3.14 \times 54 \):

\[ 3.14 \times 54 = 169.56 \]

Thus, the volume of the slanted cylinder is \( \text{169.56 cubic centimeters} \).

The correct response is:

169.56 cubic centimeters.

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