Answer:
157.1 in³
Step-by-step explanation:
In order to solve this question, we need to know the volume of that cylindrical container and the volume of the sphere( this is to know the capacity of the cylinder ie how much it can take and the amount of space the sphere can occupy).
Volume of a cylinder is=
pi × r² × h
Volume of a sphere is
4/3 × pi × r²
And here we were given the radius of the cylindrical container as 5 inches and its height as 10 inches
The radius of the sphere is 1 inch.
Applying this in the formula we have,
For cylinder :
22/7 × 5² × 10 = 785.7 in³
For the sphere:
4 ÷ 3 × 22/7 × 1² = 4.19 in³
And if there are 150 marbles in the container ,it is going to occupy a total space of 628.57 in³.
Therefore,the remaining space left in the cylinder will be 785.7 - 628.57 = 157.1 in³
Answer:
-186
Step-by-step explanation:
When you add a positive number to a negative, it gets bigger (In value) . For example:
-5 + 4 = -1
-10 + 12 = 2
So for this equation, -200 + 14, all you have to do is subtract 14 from 200, which will get you 186.
Since you removed the negative, add it back to get -186
Answer:
Tip Total: $ 15.06
Total (Bill + Tip): $ 90.37
Step-by-step explanation:
If you want to leave a 20% tip, multiply the cost by 0.20 to get the tip amount or multiply the cost by 1.20 to get the total including tip.
Answer:Least common multiple (LCM) of 3 and 4 is 12. Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor. Least Common Multiple of 3 and 4 with GCF Formula.
Step-by-step explanation:
Answer:
$64.15
Step-by-step explanation:
to solve this problem, first we should figure out how much money that the cashier gave them back, and then subtract that from $80 (which was what Matt and his siblings gave the cashier) to find out how much the perfume cost.
it is given that:
they gave the cashier $80.
the cashier gave them back 1 ten-dollar bill ($10), 1 five-dollar bill ($5), 8 dimes ($0.80 or 80 cents) , and 1 nickel ($0.05 or 5 cents)
$10+$5+$0.80+$0.05=$15.85
the total amount of money that the cashier gave them back is $15.85
to find how much the perfume cost:
$80-$15.85=$64.15
so, the perfume cost $64.15