Match the shapes with given dimensions to their compared volume size. (12 points) 1. Cylinder with height=10 and radius=4
a Middle volume of the three
b. Lowest volume of the three
- 2 Sphere with diameter 8
c. Highest volume of the three
3. Cone with radius-8 and height-10
a. middle volume of the three
b. lowest volume of the three
c. highest volume of the three

1. a. Middle volume of the three

2. b. Lowest volume of the three

3. c. Highest volume of the three

Step-by-step explanation:

First lets identify the formula to find the volume of a cylinder.

V = r ^2 h

Now plug in the height and radius. h and r

V = 4^2 10

Now start solving!

V = 16 * 10

V = 160

V= 160

You don't really have to solve for pi here because your comparing but I'll do it anyway.

V = 502.654825

Simplify

V= 502.7

Now lets identify the formula for a sphere.

V = 4/3 r^3

You need radius not diameter for this one [if you wanted to use diameter you can use the formula V= 1/6 d^3 but I will show you radius].

r = d/2

r= 8/2

r=4

Plug it in

V = 4/3 4^3

Solve!

V = 4/3 64

V = 85.3333

V = 268.082573

Simplify

V= 268.1

We can clearly see this is less than the cylinders volume so its not the highest volume.

Lastly, the cones formula.

V = r^2 h/3

Plug in height and radius

V = 8^2 10/3

V= 64 * 3.3333

V = 213.3312

V= 670.199731

V= 670.2

This is the greatest value out of all the volumes.

So from greatest to least:

Cone

Cylinder

Sphere

If you ever need anymore help don't be afraid to reach out! Hope that helps you!

i would be happy to . most people on would also love to i'm sure. if you just want someone who has done algebra before and want a little more personal relationship than just begging strangers for , i can certainly be of service. i do have college myself so i might not be 24/7.

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm