'Pi' ( π ) is the ratio of the circumference of a circle to its diameter.
The exact value of 'pi' can't be completely written with numbers, so whenever
we use 'pi', we always use an approximation.
r and s are parallel
given ∠4 = ∠5 ( these are congruent interior alternate angles )
between the lines r and s, hence
r and s are parallel lines
<span>All multiples of 5 of divisible by 5, so pick any 5 of them you like: 5, 10, 15, 20, 25, 30</span>
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