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VashaNatasha [74]
3 years ago
12

The diameter and height of this cylinder are equal to the side length, s, of the cube in which the cylinder is inscribed. What i

s the expression for the cylinders volume?
Mathematics
1 answer:
fiasKO [112]3 years ago
3 0

Answer:

V = (π/4)s³

Step-by-step explanation:

The volume of a cylinder can be found using the formula ...

V = πr²h

In this problem, we have r=s/2 and h=s. Filling in these values, the volume is ...

V = π(s/2)²·s = (π/4)s³

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What expression lets us conclude that the parts of congruent triangles are congruent to each other?
Elanso [62]

The expression that allows us conclude parts of congruent triangles are congruent to each other is corresponding parts of Congruent Triangles are congruent

<h3>What are congruent triangles?</h3>

A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees. Two triangles are congruent when they have exactly the same three sides and exactly the same three angles.

To learn more about triangles, please check: brainly.com/question/22949981

#SPJ1

3 0
2 years ago
2x-2y=22 find the value of y when x equals 2
11111nata11111 [884]

Answer:

y = -9

Step-by-step explanation:

Step 1: Substitute x

2(2) - 2y = 22

Step 2: Isolate y

-2y = 18

Step 3: Divide by -2

y = -9

And you have your final answer!

8 0
4 years ago
Read 2 more answers
The diameter of this beach ball is 12 inches.
Wittaler [7]

Answer:

288π or 904.78

Step-by-step explanation:

We know that the diameter of this beach ball is 12 inches and we want to determine how much air it can hold using the formula for the volume of a sphere which is \frac{4}{3} × π × r³ where 'r' is the radius. In the question we are given the diameter not the radius but we can half the diameter to find the radius so 12 ÷ 2 = 6. The radius of the beach ball is 6 inches so let's work out how much air it can hold.

Volume = \frac{4}{3} × π × r³

→ Let's substitute in the values

Volume = \frac{4}{3} × π × 6³

→ Simplify

Volume = \frac{4}{3} × π × 216

→ Simplify further

Volume = 288π or 904.78

5 0
3 years ago
Read 2 more answers
The figure below is made of two identical triangular prisms. What is the volume of the figure?
ANTONII [103]

Answer:784

Step-by-step explanation:

4 0
3 years ago
Solve this for Brainliest!<br><br>See the attachment [Level - GCSE]
madreJ [45]

Answer:

x = 3 + 4\sqrt{3}

Step-by-step explanation:

OPQ is a right angle triangle.

<u>Using Pythagoras</u>

x^{2} + (x+5)^{2} = (x+8)^{2}\\x^{2} + x^{2} + 10x +25 = x^{2} + 16x + 64\\x^{2} + x^{2} - x^{2} + 10x - 16x + 25 - 64 = 0\\x^{2} - 6x -39 = 0

<u>Using quadratic formula</u>

<u />x = \frac{-b \± \sqrt{b^{2}-4ac}}{2a}\\x = \frac{-(-6) \± \sqrt{(-6)^{2}-4(1)(-39)}}{2(1)}\\x = \frac{6}{2} \± \frac{\sqrt{192}}{2}\\x = 3 \± \frac{8\sqrt{3}}{2}\\x = 3 \± 4\sqrt{3}

x = 3 + 4\sqrt{3} = 9.928(4s.f.)

             OR

x = 3 - 4\sqrt{3} = -3.928(4s.f.) (Length can't be negative)

∴ x = 3 + 4\sqrt{3}

3 0
2 years ago
Read 2 more answers
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