The paper water cups provided near the water jug are cones of radius 1.5cm and height 2cm. Your water bottle is a cylinder of radius 1.5cm and height 4 cm.
How many full paper cups of water would you have to drink to get the same amount of water as one full water bottle?

@cwrw238 @iGreen @ikram002p @perl

Question

The paper water cups provided near the water jug are cones of radius 1.5cm and height 2cm. Your water bottle is a cylinder of radius 1.5cm and height 4 cm.
How many full paper cups of water would you have to drink to get the same amount of water as one full water bottle?

@cwrw238 @iGreen  @ikram002p @perl

shae.mccoy · Answer

I give medals

shae.mccoy · Answer

@perl

shae.mccoy · Answer

@DanielleJayla

igreen · Answer

Find the volumes of the Paper Cups and the Water bottle.

Volume of a Cone: $\dfrac{1}{3}\pi r^2h$

Volume of a Cylinder: $\pi r^2 h$

igreen · Answer

Let's find the volume of the cone first:

$V = \dfrac{1}{3}\pi r^2 h$

$V =\dfrac{1}{3}(3.14)(1.5^2)(2)$

Simplify exponent:

$V =\dfrac{1}{3}(3.14)(2.25)(2)$

Multiply:

$V =(1.05)(2.25)(2)$

Multiply:

$V =(2.36)(2)$

Multiply:

$V = 4.72$

So the volume of the cone cup is 4.72.

igreen · Answer

Now let's find the Volume of the Cylinder:

$V = \pi r^2 h$

$V = (3.14)(1.5^2)(4)$

Simplify Exponent:

$V = (3.14)(2.25)(4)$

Multiply:

$V = (7.07)(4)$

Multiply:

$V = 28.28$

igreen · Answer

Now to find how many cups of water we need, we can just divide:

28.28 / 4.72 = ? @Sha

igreen · Answer

Can you divide 28.28 and 4.72? @Shae.McCoy

shae.mccoy · Answer

sorry.. Kinda zoned out

shae.mccoy · Answer

5.99? @ig