30 POINTS PLEASE HELP The figure is made up of a cylinder, a cone, and a half sphere. The radius of the half sphere is 3 inches. What is the volume of the composite figure? Use 3.14 for Pi. Round to the nearest hundredth. A cylinder, half sphere, and cone. The radius for all figures is 3 inches. The height of the cylinder is 6 inches and height of the cone is 4 inches. Recall the formulas V = B h V = one-third B h and V = four-thirds pi r cubed

The volume of the composite figure is 263.76 inches³

Step-by-step explanation:

The volume of a cylinder of radius r and height h is

V = πr²h ⇒ Bh

The volume of a cone of radius r and height h is

V =  πr²h ⇒  Bh

The volume of a sphere with radius r is

V =  πr³

∵ The figure is made up of a cylinder, a cone, and a half sphere

∵ The radius of the cylinder = 3 inches

∵ The height of the cylinder = 6 inches

∵ π = 3.14

- Use the rule of the volume of the cylinder above

∴ The volume of the cylinder = (3.14)(3)²(6)

∴ The volume of the cylinder = 169.56 inches³

∵ The radius of the cone = 3 inches

∵ The height of the cone = 4 inches

∵ π = 3.14

- Use the rule of the volume of the cone above

∴ The volume of the cone =

∴ The volume of the cone = 37.68 inches³

∵ The radius of the half sphere = 3 inches

∵ π = 3.14

- Use the rule of the volume of the sphere above to find the

  volume of the half sphere

∴ The volume of half sphere =

∴ The volume of half sphere = 56.52 inches³

To find the volume of the composite figure add the volumes of the three shapes above

∵ The volume of the composite figure = 169.56 + 37.68 + 56.52

∴ The volume of the composite figure = 263.76 inches³

The volume of the composite figure is 263.76 inches³

Step-by-step explanation:

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a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|

in the attachment.   i didn't see your choices.   the word which means there is choices.

step-by-step explanation:

(x,y)

x tells you how much left or right you go from the origin

y tells you how much down or up you go from the origin

so for example (-3,2), you go left 3 and up twice. i denoted which of the ordered pairs is which in my graph.