A cylinder has a radius of 4 centimeters and a height of 40 centimeters

1 answer:

8 0

Volume:
$V = b * h \\ V=( \pi r^{2} )*h\\V=(\pi4^{2})*40\\V=640cm^{3}$

Surface Area:
SA = base + base + side
SA = $2(\pi r^{2})+($ Circumference $*h$
SA = $2(\pi r^{2})+(2\pi r)*h$
$SA=2(\pi(4^{2}))+(2\pi (4))*40\\
SA=32\pi + 8\pi*40\\
SA=32\pi+320\pi \\
SA=352\pi=1005.309cm^{2}$

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Two-digit natural numbers are formed, with replacement, from the digits 0 through 9.

alexdok [17]

Answer:

The first digit of a two digit number can be any of digits 1 - 9. It cannot be 0 though. Therefore there are 9 possible digits for the first place.

There are 5 possible digits for the second position. The two digit number has to be odd and therefore the final digit must be 1,3,5,7 or 9

Therefore for each and every one of the nine first digits there are 5 digits that the second can be.

Therefore ANSWER = 9 * 5 = 45 possible permutations.

2. The largest two digit number = 99

Subtract 57 and you get 42

ANSWER = 42

The forty two numbers are 58 ,59, 60, 61......98, 99