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quester [9]
3 years ago
5

The radius of a cylinder is increased from 9 to 9.03 inches. if the height remains constrant at 12 inches. Estimate the change i

n volume
Mathematics
1 answer:
valina [46]3 years ago
4 0
1. Calculate for the volume of the original cylinder using the equation,
      V = πr²h

where V is the volume, r is the radius, and h is the height

Substituting the known values,
   V₁ = π(9 in)²(12 in) = <em>3053.63 in³</em>

2. Do the same for the cylinder with the increased radius,

    V₂ = π(9.03 in)²(12 in) = <em>3074.02 in³</em>

3. Lastly, determine the difference between the two volumes through the equation,

    d = V₂ - V₁

Substituting the known values,
  d = 3074.02 in³ - 3053.63 in³

  <em> d = 20.39 in³</em>
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A monument in the shape of a right triangle sits on a rectangular pedestarl that is 7 meters high by 16 meters long. The longest
SashulF [63]

Answer:

height = 63  m

Step-by-step explanation:

The shape of the monument is a triangle. The triangle is a right angle triangle. The triangular monument is sitting on a rectangular pedestal that is 7 m high and 16 m long.  The longest side of the triangular monument is 65 m . The longest side of a right angle triangle is usually the hypotenuse. The adjacent side of the triangle which is the base of the triangle sitting on the rectangular pedestal is 16 m long.

Since the triangle  formed is a right angle triangle, the height of the triangular monument can be gotten using Pythagoras's theorem.

c² = a² + b²

where

c is the hypotenuse side while side a and b is the other sides of the right angle triangle.

65² - 16² = height²

height² = 4225  - 256

height² = 3969

square root both sides

height = √3969

height = 63  m

4 0
3 years ago
What is x in this Math problem 2/3x=27
jek_recluse [69]

Answer: x = 40.5

Step-by-step explanation:

Simply divide 27/(2/3) to get 40.5

<em>Hope it helps <3</em>

4 0
3 years ago
Read 2 more answers
Rearrange x - y + 1 = 0
Deffense [45]

Answer:

y=x+1

or x=y-1

Step-by-step explanation:

5 0
3 years ago
What is the answer to this question?
forsale [732]

Answer:

c = 83

b = 79

a = 101

d = 97

.

.........................

5 0
2 years ago
-1. The table shows the annual consumption of cheese per person in the United States for selected years in the 20th century. Let
olga nikolaevna [1]
<span>Using processing software (Excel) or even a decent scientific calculator. You input the values and generate the best fit cubic equation.
For number 1, the equation is
y = 8x10</span>⁻⁵ x³ - 0.0097 x² + 0.374 x + 1.083
where x is the number of years since 1900
y is the pounds cheese consumed

For number 2, the equation is
y = -3x10⁻⁵ x³ + 0.0028 x² + 0.2155 x + 1.7736

For number 3
P(-1) = 18
5 0
3 years ago
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