Answer:
6.51 cm
Step-by-step explanation:
Since the sphere causes the water level in the cylindrical container to rise and thus increase by its own volume, the volume of the sphere is V = 4πr³/3 where r = radius of sphere. The volume rise of the container is thus V' = πR²h where R = radius of base of cylinder = 7 cm and h = height of water level = 7.5 cm.
Since V = V',
4πr³/3 = πR²h
dividing through by π, we have
4r³/3 = R²h
multiplying both sides by 3/4, we have
r³ = 3R²h/4
taking cube-root of both sides, we have
r = ∛(3R²h/4)
Substituting the values of the variables into the equation, we have
r = ∛(3(7 cm)² × 7.5 cm/4)
r = ∛(3 × 49 cm² × 7.5 cm/4)
r = ∛(1102.5cm³/4)
r = ∛(275.625 cm³)
r = 6.508 cm
r ≅ 6.51 cm to 2 decimal places
Answer:
Step-by-step explanation:
simplify 
by putting the negative sign on the outside. 
find the LCM of the denominators. It is (x-1)(x-2). Multiply by the LCM:
Simplify:
solve:
Answer:
1/4 is the clope of the line
Step-by-step explanation:
a slope is just a rise ofver run from one dot to anothor so you go up 1 and over 4 and if you dont do the 2 dots that are closest to each other you have to simplify you r exspresion you will always get 1/4 on this graph
Answer:
£44
Step-by-step explanation:
We have been given the ratio 1 : 3 , where 1 is stephens value and 3 is bridgets value.
We have told that stephen gets £11.
The relationship between stephens 'value' of 1 and the amount of money that he actually gets (11) is x11.
Therefore we must also x11 to Bridgets value.
11 x 3 = £33
Now, we add the two answers to find how much they won in total.
£33 + £11 = £44
hope this helps :)
