A sphere with radius $r$ has surface area $4\pi r^2$ . Divide the radius by 6 and you get a surface area of $4\pi\left(\dfrac r6\right)^2=\dfrac4{36}\pi r^2$ , so that the final surface area is divided by 36.

7 0

3 years ago

Two barrels, A and B, contain unspecified amounts of cider, A containing more than B. From A, pour into B as much cider as B alr

vladimir2022 [97]

You should go backwards to answer this question
There were 3 steps
Step 1 : Pour from A into B
Step 2: Pour from B into A
Step 3 : Pour again from A into B
And in all three cases the amount of cider gets doubled in the container

Now we go Backwards From step 3
B now contains 64L poured from A. That means previously it was half of 64, i.e.,
B contained half of 64 = 32L
A contained (64+32) = 96L
[We are adding 32L because the amount of cider got decreased in A is the amount of cider got increased in B or vice versa]

Now coming to second step doing same thing, but now it is half of A as B poured into A,
A contained half of 96 = 48L
B contained (32+48) = 80L

Now same thing in Step 1,
B contained half of 80 = 40L
A contained (48+40) = 88L

Therefore the amount of cider contained in the containers at the starting of process is,
A = 88L
B = 40L

[If you want to check you answer, you can put the values of 88 and 40 and go stepwise as written in question to check whether it coming correct or not]

6 0

3 years ago