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:
4 13/20 -> 4.65
Step-by-step explanation:
Answer:
Two
Step-by-step explanation:
there is TWO sulotions!!!
Answer:
(1) If the GCD of 5 and 12 is 1, then they are co-prime.
(2) The sum of 5 and 12 is 7 if and only if 5 is a negative integer.
Step-by-step explanation:
(1)
The GCD (greatest common divisor) of two or more numbers, which are not all equal to zero, is the largest positive integer number which divides each of the numbers.
If the GCD of two numbers is 1, then the two numbers are known as coprime or relatively prime or mutually prime.
(2)
The sum of 5 and 12 is 7 if and only if, the number 5 is a negative integer, i.e.
-5 + 12 = 7
Answer:
4
Step-by-step explanation: