The birthday candle has the form of a cylinder and cone together, if its has a common radius of 5 mm. The height of cylinder is 20mm, and the height of cone is 8 mm. About how much soil does the container hold?.

1779.33 mm³

Step-by-step explanation:

We are given a candle in a form of a cylinder and a cone

Dimensions;

Common radius is 5 mm

Height of the cylinder is 20 mm

Height of the cone is 8 mm

We are required to determine the amount that it can hold.

To answer the question we are going to determine its volume

Cylinder;

Volume of a cylinder is given by;

V = πr²H

Taking π to be 3.14

Then ;

Volume of cylinder = 3.14 × 5mm² × 20 mm

                                = 1570 mm³

Cone

Volume of a cone is given by;

V = 1/3πr²H

That is;

Volume =1/3 × 3.14 × 5mm² × 8 mm

            = 209.33 mm³

Therefore;

Volume of the solid = 1570 mm³ + 209.33 mm³

                                 = 1779.33 mm³

Thus, the volume of the solid is 1779.33 mm³

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4

the diver is 33 feet below the surface.

step-by-step explanation:

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