Step-by-step explanation:
could not find the formula ?
the volume of a cylinder is ground area × height.
and the ground area is a circle.
so, all in all we get
pi×r²×h
with r being the radius (half of the diameter), and h being the height.
in our case we get
pi×(140/2)²×10 = pi×70²×10 = 49000×pi =
= 153,938.04... cm³
For

to be continuous at

, you need to have the limit from either side as

to be the same.


If

and

, then the limit from the right would be

, so the answer to part (1) is no, the function would not be continuous under those conditions.
This basically answers part (2). For the function to be continuous, you need to satisfy the relation

.
Part (c) is done similarly to part (1). This time, you need to limits from either side as

to match. You have


So,

and

have to satisfy the relation

, or

.
Part (4) is done by solving the system of equations above for

and

. I'll leave that to you, as well as part (5) since that's just drawing your findings.
Answer:
a) A = π30² = 900π cm² ≈ 2,827 cm²
b) V = Ah = 900π80 = 72000π cm³ ≈ 226,195 cm³
Step-by-step explanation:
Answer:
2.5 cups
Step-by-step explanation:
125 grams = 12 muffins
48 muffins = x grams
125/12 x 48 = 500 grams
1 cup sugar = 200 g
500g = x cups
500/200 = 2.5 cups