Given a soda ca with a volume of 21 and a diameter of 6, what is the volume of a cone that fits perfectly inside the soda can?

The volume of a cone that fits perfectly inside the soda can is 7.

Volume of a can:

21 = r² π h

21 = 3² π h

21 = 9 π h

h = 21/ 9π = 7/ 3π 

Volume of a cone that fits perfectly inside a can:

V = 1/3 r² π h = 1/3 · 9 π · 7 / 3π = 7

Or you can use: V cone = 1/3 V cylinder ( with the same basis )

V cone = 1/3 * 21 = 7

Step-by-step explanation:

Since we have given that

Volume of soda can = 21

Diameter of can = 6

As we know the formula for "Volume of cylinder:"

Now, we have to find the volume of a cone that fits perfectly inside the soda can.

so, its radius will be 3 cm and height will be

As we know the formula for "Volume of cone":

Hence, the volume of a cone that fits perfectly inside the soda can is 7.

amount of oatypop that contains the prize = 40%

amount   of oatypop which doesn't contain the prize = (100-40)=60%

probability that hannah will win a prize

    = s +f s +f f s+ff   f s+ff f f s+ infinity.where f= failure,s= success

=   or 60%

probability that hannah only has to buy 3 or less boxes before getting a prize= (s) and ( f s) and (ff s) and (f f f s)

        = = 87.04 %  

step-by-step explanation:

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950