1. First, let us write out the formula for the volume of a cylinder:
V = πr^(2)h
Now, given that the cylinder has a volume of 321 cubic units, we can rewrite the above formula with this new information:
321 = πr^(2)h
2. The volume of a cone is given by the following formula:
V = (1/3)πr^(2)h
Now, we can substitute 321 = πr^(2)h into the formula above to find the volume of the cone (this will work as the cone and cylinder have the exact same radius and height). Thus we get:
V = (1/3)πr^(2)h
V = (1/3)*321
= 107 cubic units
Note that there is another method that is perhaps more intuitive and can be used quite effectively in multiple choice questions, where working isn't required. What you should notice from the general formulas for the volume of a cone and a cylinder is that the volume of a cone is actually 1/3 of the volume of a cylinder (given that they have the same radius and height). Thus, if we know that the cone in our situation has the exact same radius and height as the cylinder, we can use this method as such:
Volume of cone = (1/3)*Volume of cylinder
Volume of cone = (1/3)*321
= 107 cubic units
To write the fraction 7/10 as a sum of fractions three different ways, you can use a common denominator, multiples of the denominator, or equivalent fractions.
To write the fraction 7/10 as a sum of fractions three different ways, we can use different denominators. Here are three ways:
#SPJ11
Answer: $750
Step-by-step explanation:
Hi, to answer this question, first we have to calculate the markup amount by multiplying the wholesale price of the clubs (250) by the percent increase in decimal form (divided by 100):
Mathematically speaking:
250 x (200/100) = $500 (percent increase amount)
Finally, we add the percent increase amount to the wholesale price to obtain the retail price:
250+500 =$750
Feel free to ask for more if needed or if you did not understand something.