Answer: the height of the water after the sphere is placed in
it is 33.33 cm
Step-by-step explanation:
The cylinder is called a right circular cylinder because its height make a right angle with its base. The formula for determining the volume of the cylinder is expressed as
Volume = πr^2h
Where
π is a constant whose value is 3.14
r represents the radius of the cylinder.
h represents the height of the cylinder.
From the information given,
r = 10 cm
h = height of water in the cylinder = 20 cm
Volume of water in the cylinder before the sphere was placed in it would be
V = 3.14 × 10^2 × 20 = 6280 cm^3
The formula for determining the volume of the sphere is expressed as
Volume = 4/3 πr^3
V = 4/3 × 3.14 × 10^3 = 4186.67cm^3
Total volume of the sphere and the cylinder = 6280 + 4186.67 = 10466.67 cm^2
To determine the new height of the water,
10466.67 = 3.14 × 10^2× h
h = 10466.67/314 = 33.33 cm
Answer:
The relation which is a function is the one in which none of the first coordinates repeated.
Step-by-step explanation:
Answer:
f(x)/g(x) = 4x^2+6x-3 remainder -12
or
f(x)/g(x) = (4x^2+6x-3)/(2x+1) + (-12)/(2x+1)
or
((4x²+6x-3)-12)/(2x+1)
Step-by-step explanation:
f(x)= 8x³ + 16x² -15
g(x) = 2x+1.
Using long division,
f(x)/g(x) = 4x^2+6x-3 remainder -12
