Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 10 feet and a height of 8 feet. Container B has a diameter of 12 feet and a height of 7 feet. Container A is full of water and the water is pumped into Container B until Container A is empty. To the nearest tenth, what is the percent of Container B that is full after the pumping is complete?

79.4 %

Step-by-step explanation:

volume of cylinder : pi×r²×h

attention ! the question gives us the diameters, so for the radius, we need to cut them in half.

Va = pi × (10/2)² × 8 = pi×25×8 = 628.31853... ft³

Vb = pi × (12/2)² × 7 = pi×36×7 = 791.68135... ft³

100% Vb = 791.68135... ft³

1% Vb = 7.9168135... ft³

now, 628.31853... ft³ have been pumped into B.

so, how often does 1% of the volume of B fit into that filled volume ?

628.31853... / 7.9168135... = 79.36507937...% = 79.4%

i can you with this sweetie!

step-by-step explanation:

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!