Answer:
The space left inside the cyclinder =36π(h - 24)
step-by-step explanation:
Radius of sphere = 6cm
Diameter of cylinder = 12cm
Radius of cylinder = d / 2 = 12 /2 = 6cm
Formula for volume of a sphere = 4/3 πr³
Formula for volume of volume of a cylinder = πr²h
r = radius
h = height
The volume of one sphere = 4/3πr³
Volume of 4 spheres = 4 * 4/3πr³ = 12/3 πr³ = 4πr³
But radius of the sphere = 6cm
Volume of the sphere = 4 * π * 6³
Volume of the sphere = 864π
Let the space left in the cylinder = x
The space left in the cylinder (x) = volume of the cylinder - total volume of the spheres
x = πr²h - 4πr³
Note : both radius = 6cm and we can just substitue it
x = πr² (h - 4r)
x = π*6² (h - 4*6)
x = 36π (h - 24)
The space left inside the cylinder = 36π(h - 24) since we don't know the value of the height of the cylinder.
they are 2 similar triangles, one is smaller than the other. they are in the ratio of 2:1,
hence 7x =56÷2
7x=28
x=4
The depth of the bottom of the hole after the second day is 36 feet using addition operation.
<h3>What is addition?</h3>
In math, addition is the process of adding two or more integers together. Addends are the numbers that are added, while the sum refers to the outcome of the operation.
Given the depth on the first day is 26 ½ feet.
Depth on the second day = 9½ feet more than on the first day i.e. 9½ feet + depth on the first day
This implies, depth on the second day = 9½ + 26 ½
= 36 feet
Therefore, the depth of the bottom of the hole after the second day is 36 feet.
To learn more about addition, visit:
brainly.com/question/25621604
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Answer:
16.7
Step-by-step explanation:
We can use the Pythagorean theorem, a^2 + b^2 = c^2.
a = 11
c = 20
11^2 + b^2 = 20^2
121 + b^2 = 400
b^2 = 279
b = sqrt(279) = 16.7
Answer:
267 - 112 - 65 - 33 = $57
Step-by-step explanation:
subtract to get the answer
