Volume of Cone, Cylinder, Sphere
"Get a Shape's Volume"
The formula for the volume of a sphere is 4⁄3πr³. For a cylinder, the formula is πr²h. A cone is ⅓ the volume of a cylinder, or 1⁄3πr²h. This song’s hook makes these formulas easy to remember. The song also gives examples of objects of these shapes.
You guys should really start getting the volumes of all these shapes. Like the cone or a cylinder or a sphere. Yeah!
You bet! Get a shape’s volume,
A sphere is 4⁄3πr3,
πr2h, that’s a cylinder,
A cone is a third of cylinder. (x2)
Sphere:
Who’s balling like the NBA?
I’m a sphere, and I get around everyday.
If you measure me in cubic units,
You’ll get the volume inside, that’s how we do this.
It’s 4⁄3πr3,
For sure I’m smart just like a nerd.
It’s 4⁄3πr3,
The r is my radius, we are the craziest.
Cylinder:
Hey, yo! Who wants to battle me? I’m shaped like a battery,
A cylinder is stacked circles, yeah exactly.
I’m the one that these knuckleheads love to hate,
My volume is πr2h,
Now ain’t that great?
Cylinder volume is πr2h.
I’m in the shape of a cup,
Claim victory and you’ll be raising me up.
Cone:
Yeah, I’m a cone, I catch scoops,
When I line up on the street, you don’t pass through.
My cone volume? Huh, tell your minister,
It’s just 1⁄3 the volume of a cylinder,
Yeah, coneheads get it straight,
That’s 1⁄3πr2h,
Come find me on Coney Island,
With my cyclones... now bring the hook back.
You bet! Get a shape’s volume,
A sphere is 4⁄3πr3,
πr2h, that’s a cylinder,
A cone is a third of cylinder. (x2)
The right units are important, so don’t forget! There’s a big difference between 9 ft, 9 ft2 and 9 ft3. Because we're dealing in volume, are units will always be three-dimensional, that's ft3 or m3, etc.
The right units are important, so don’t forget! There’s a big difference between 9 ft, 9 ft2 and 9 ft3. Because we're dealing in volume, are units will always be three-dimensional, that's ft3 or m3, etc.
If the formula for the volume of a sphere is 4⁄3πr3, what’s the volume of a softball with a radius of 2 inches? It’s easy to find out--just plug the radius into the formula!
4⁄3 · π · (2)3 = approximately 33.5 in3
If the formula for the volume of a sphere is 4⁄3πr3, what’s the volume of a softball with a radius of 2 inches? It’s easy to find out--just plug the radius into the formula!
4⁄3 · π · (2)3 = approximately 33.5 in3
If you remember the formula for the area of a circle, you can probably figure out this one. A cylinder is just lots of circles stacked on top of each other, so what do you have to multiply by your circle formula by? Height!
If you remember the formula for the area of a circle, you can probably figure out this one. A cylinder is just lots of circles stacked on top of each other, so what do you have to multiply by your circle formula by? Height!
To calculate the volume of a cylinder, you need to know both the radius and the height. What would be the volume of a 3-foot-tall cylindrical trash can with a 1-foot radius?
π · (1)2 · 3 = about 9.42 ft3
To calculate the volume of a cylinder, you need to know both the radius and the height. What would be the volume of a 3-foot-tall cylindrical trash can with a 1-foot radius?
π · (1)2 · 3 = about 9.42 ft3
For the volume of a cone, you need the radius and the height. Say you wanted to know how much ice cream could fit into a cone. Well, how big is the cone? If it has a height of four inches and a three-inch diameter, put 4 and 1.5 into the formula to find out.
1⁄3 · π · (1.5)2 · 4 = 9.42 in3
For the volume of a cone, you need the radius and the height. Say you wanted to know how much ice cream could fit into a cone. Well, how big is the cone? If it has a height of four inches and a three-inch diameter, put 4 and 1.5 into the formula to find out.
1⁄3 · π · (1.5)2 · 4 = 9.42 in3
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