F = 3/r.
The formula for the volume of a cylinder is
V=πr²h. We know that h=2r, so this gives us:
V = πr²(2r) = 2πr³
The surface area of a cylinder is the sum of the areas of all of the faces. The bottom and top are circles, whose areas are both given by A=πr². The lateral area of a cylinder is given by the circumference multiplied by the height. C = 2πr, and the height is 2r, so the lateral area would be
A=(2πr)(2r)= 4πr². This gives us a total surface area of
SA = 4πr²+πr²+πr² = 6πr².
The ratio of surface area to volume would be:
SA/V = 6πr²/2πr³. After simplifying, we have f=3/r.
9514 1404 393
Answer:
D, F
Step-by-step explanation:
The mnemonic SOH CAH TOA can help you with this. It reminds you ...
Sin = Opposite/Hypotenus
sin(40°) = x/b . . . . matches D
Cos = Adjacent/Hypotenuse
<em> cos(40°) = a/b . . . . no match</em>
Tan = Opposite/Adjacent
tan(40°) = x/a . . . . matches F
Answer:
it would be 6 and 10
Step-by-step explanation:
I would say it is A because if you subtract <em>p,</em> the original price by $2.50, you would get <em>d, </em>the discounted price. Look at B u see that you're adding the discount which doesn't make sense. Looking at C, the discounted price of different prices can't always be the same. And finally, D, the discounted price is greater than the original. Also, if you subtract you would get different discounts.
Answer:
BC= 20 units
Step-by-step explanation:
Since ∆ ABC is an equilateral triangle, all the sides are equal in length.
AC= BC
=>-y+23= 6y+2
=>-y-6y= 2-23
=>-7y= -21
=>y= 21/7
=>y= 3
BC = 6y+2 = 6(3)+2 = 18+2 = 20 units
