formula for volume = V=PI x r^2 x H so replace letters with known values and work the problem out
215 in.^3 = 3.14 x r^2 x 7.5
215/(7.5x3.14) = r^2/(7.5 x 3.14)
r^2 = (215/7.5x3.14)
r^2 = 9.1295
Now, taking the square root of both sides, we get:
sqrt(r^2) = r
sqrt(9.1295) = 3.021
r = 3 inches
Sqrt of 125
10^2 +b^2= 15^2
100 +b^2=225
B^2=125
No perfect square for 125 so leave it in radical form
Answer: 25 ounces
Step-by-step explanation:
The equation would be 0.2∙25+0∙x=0.1(25+x) because 20% of boric acid would be = to 0.2. water doesn't have any acid in it so it would be 0. since annabel wants a 10% solution that would mean that the total about would be 0.1 of boric acid. The ounces she needs for the 0.2 boric acid solution is 25 while the other is unknown so that would be x. when you put them together it would be 25+x. then you just multiply the ounces and the acid together and you get 0.2∙25+0∙x=0.1(25+x). when you solve it it would be x=25.
Answer:
The capacity of the mug = 
cups
Step-by-step explanation:
Given - A mug is 1/8 full. The mug contains 1/6 of a cup of water.
To find - Find the capacity of the mug. Write the answer as a fraction or mixed number
Proof -
Let the capacity of water = x
Given that,
A mug is 
full of water
⇒Total cups of water in the mug = 
Now,
Given that, The mug contains 
of a cup of water.
∴ we get
=
⇒x = × 8
= 
= 
=
⇒x =
∴ we get
The capacity of the mug = cups
