Here are the answers you were looking for:
A) Yes
B) No
C) No
Answer:
C. 128/3 meters cubed
Step-by-step explanation:
The volume of a cylinder is denoted by:
, where r is the radius and h is the height. We know it's equal to 64, so we can set that equal to V:


We know that the sphere and cylinder have the same height and radius. However, the "height" of a sphere is actually the same as its diameter, which is twice its radius. Then, we can replace h in the above equation with 2r:



Now, the volume of a sphere is denoted by:
, where r is the radius. From above, we know that
, so we can plug this into the equation:


Thus, the answer is C.
Easy
so remember
4 aces in a deck
probability =(desired outcomes)/(total possible)
total possible=52
4/52=1st card
then since he picked 1 out the total possible is and assuming he drwe an ace 3/51
so the answer is 4/52 times 3/51=1/221
Part a.
<span>The perimeter formula is: </span>
P = 2w + 2LYour answer for part A is
P = 2w + 2LPart b.
They tell us in part b, that:
w = 6L + 20
Substitute that into what we got for part a.
P = 2(6L + 20) + 2L
P = 12L + 40 + 2L
P = 14L + 40Your answer for partb is
P = 14L + 40Part c.
So we take what we got from part b, and solve for L.
P = 14L + 40
14L = P - 40

That is your answer for part 3 ^
part d.
Plug in w = 32 into what we first got in part b.
w = 6L + 20
32 = 6L + 20
6L = 12
L = 2Your answer for part d is
L = 2<span>:D</span>