pls help me A company uses paper cups shaped like cones for its water cooler. Each cup has a height of 10 cm, and the base has a diameter of 12 cm. The cooler has
16,956 cm of water in it. How many cups can be filled from the cooler?
Use 3.14 for 7, and do not round your answer.

Complete Question

A company uses paper cups shaped like cones for its water cooler. Each cup has a height of 10 cm, and the base has a diameter of 12 cm. The cooler has 16,956 cm³ of water in it. How many cups can be filled from the cooler?

45 paper cups

Step-by-step explanation:

Step 1

We have to find the volume of the paper cups.

The paper cup is shaped like a cone

Hence, Volume of a cone(paper cup) = 1/3πr²h

π = 3.14

Height = 10 cm

Diameter = 12 cm

Radius = Diameter/2 = 12cm/2 = 6cm

Hence,

Volume = 1/3 × 3.14 × 6² × 10

= 376.8 cm³

Step 2

How many cups can be filled from the cooler?

The cooler contains initially = 16,956 cm³ of water

Hence, the number of cups that can be filled from the cooler is calculated as:

Volume of cooler/Volume of paper cup

= 16,956cm³/376.8 cm³

= 45 paper cups

Therefore, 45 paper cups can be filled from the cooler.

the y will be in still but your answer will be y x 3

step-by-step explanation:

jk: )

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions