An ice cream cone is 11 cm deep and 5 cm across the opening of the cone. two hemisphere-shaped scoops of ice cream, which also have diameters of 5 cm, are placed on top of the cone. if the ice cream were to melt into the cone, would it overflow?

The melted ice cream would overflow.

Step-by-step explanation:

Volume of the cone = 1/3 π r^2 h

= 1/3 * 11 * 2.5^2  π

= 22.917 π  cm^3.

Volume of the 2 scoops = 2 * 4/3  π  r^3

= 8/3 * 2.5^3  π

= 41.67 π  cm^3  -  which is greater than the volume of the cone.

So the ice cream would overflow.

$33

Step-by-step explanation:

The price at the end of the week is $33.

Step-by-step explanation:

We are given that on Monday the price of a company’s stock is $30 per share. On Tuesday, the stock price drops $3, on Wednesday it rises $7, on Thursday it rises $3, and on Friday it drops $4.

The price of a company’s stock on Monday = $30 per share

So, the mathematical statement that represents the situation is given by;

Price of company’s stock on Monday = $30

On Tuesday, the stock price drops $3, so the price of company’s stock on Tuesday = Price of company’s stock on Monday - Drop in price on Tuesday

             = $30 - $3 = $27

On Wednesday, the stock price rises $7, so the price of company’s stock on Wednesday = Price of company’s stock on Tuesday + Rise in price on Wednesday

             = $27 + $7 = $34

On Thursday, the stock price rises $3, so the price of company’s stock on Thursday = Price of company’s stock on Wednesday + Rise in price on Thursday

             = $34 + $3 = $37

On Friday, the stock price drops $4, so the price of company’s stock on Friday = Price of company’s stock on Thursday - Drop in price on Friday

             = $37 - $4 = $33

Hence, the price at the end of the week is $33.