1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Iteru [2.4K]
2 years ago
15

The volume of a cylinder is 63pi cubic inches. Its height is 7 inches. Find the radius of the ball. Round your

Mathematics
1 answer:
netineya [11]2 years ago
6 0

Answer:

3 (or 3.0)

Step-by-step explanation:

The formula for the volume of a cylinder is v=\pi r^2h where v is the volume, r is the radius, and h is the height. We know the height is 7 inches and the volume of 63pi cubic inches, so plugging in gives:

63\pi=\pi r^2\cdot 7.

Dividing by 7\pi on both sides gives

r^2=9,

and simplifying and taking the positive root leaves r=3.

You might be interested in
Find the distance between the points (11, 15) and (11, 6).
Verizon [17]

Answer:

9

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A Swimming pool is in the shape of a rectangular prism. the pool is 5 ft deep. Its length is 3 times its width. The volume of th
Natasha2012 [34]
To solve for the width and the length of the pool, you will use the formula for finding the volume of a rectangular prism.  You will represent the length and the width of the pool in terms of w, the width.

Please see the attached picture for the work.

The width of the pool is 20 feet.

The length of the pool is 3 x 20 ft or 60 feet.

8 0
3 years ago
Is x = 3 a solution of the equation 3x − 5 = 4x − 9? Explain.
Vika [28.1K]

Answer:

no because on is equal to 3 when plugged in and the other is equal to 4 when plugged in.

Step-by-step explanation:

3(3)-5=4\\4(3)-9=3

5 0
3 years ago
Find the geometric mean of the pair of numbers
Svetach [21]

Answer: a. 55

Step-by-step explanation:

The formula to find the geometeric mean between two numbers a and b is given by :-

G.M. =\sqrt{ab}

The given numbers are : 275 and 11

The geometric mean of 275 and 11 is given by :-

G.M.=\sqrt{275\times11}\\\\\Rightarrow\ G.M. =\sqrt{3025}\\\\\Rightarrow\ G.M.=\sqrt{55\times55}\\\\\Rightarrow\ G.M.=\sqrt{55^2}\\\\\Rightarrow\ G.M.=55

Hence, the geometric mean of 275 and 11 is 55.

So , the correct option is a. 55 .

4 0
3 years ago
What is the length of the curve with parametric equations x = t - cos(t), y = 1 - sin(t) from t = 0 to t = π? (5 points)
zzz [600]

Answer:

B) 4√2

General Formulas and Concepts:

<u>Calculus</u>

Differentiation

  • Derivatives
  • Derivative Notation

Basic Power Rule:

  1. f(x) = cxⁿ
  2. f’(x) = c·nxⁿ⁻¹

Parametric Differentiation

Integration

  • Integrals
  • Definite Integrals
  • Integration Constant C

Arc Length Formula [Parametric]:                                                                         \displaystyle AL = \int\limits^b_a {\sqrt{[x'(t)]^2 + [y(t)]^2}} \, dx

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

\displaystyle \left \{ {{x = t - cos(t)} \atop {y = 1 - sin(t)}} \right.

Interval [0, π]

<u>Step 2: Find Arc Length</u>

  1. [Parametrics] Differentiate [Basic Power Rule, Trig Differentiation]:         \displaystyle \left \{ {{x' = 1 + sin(t)} \atop {y' = -cos(t)}} \right.
  2. Substitute in variables [Arc Length Formula - Parametric]:                       \displaystyle AL = \int\limits^{\pi}_0 {\sqrt{[1 + sin(t)]^2 + [-cos(t)]^2}} \, dx
  3. [Integrand] Simplify:                                                                                       \displaystyle AL = \int\limits^{\pi}_0 {\sqrt{2[sin(x) + 1]} \, dx
  4. [Integral] Evaluate:                                                                                         \displaystyle AL = \int\limits^{\pi}_0 {\sqrt{2[sin(x) + 1]} \, dx = 4\sqrt{2}

Topic: AP Calculus BC (Calculus I + II)

Unit: Parametric Integration

Book: College Calculus 10e

4 0
3 years ago
Other questions:
  • Defined as bounded by two distinct end points that contain every point on the line between its end points.
    13·2 answers
  • A clock loses 5 seconds every 12 minutes. At this rate, how many minutes will the clock lose in a 24-hour period?
    12·2 answers
  • Is math a good subject?
    14·1 answer
  • (−7,−6)y(9,10)(-7,-6)y(9,10)
    12·1 answer
  • What is the approximate surface area of a cylinder that's base has a radius of 2, and it's lateral rectangle has a length of 6.2
    9·1 answer
  • Write a function rule for the area of a rectangle whose length is 5in. more than its width. what is the area of the rectangle wh
    13·1 answer
  • What multiplication problem would give you the same answer as this division problem?
    7·1 answer
  • HELP PLEASEEEEEEEEO ITS EASY IF U LIKE RECTANGLESoo
    10·2 answers
  • If a sum invested gains 10% each year how long will it be before it has doubled its<br> value?
    10·1 answer
  • A rectangular container that measures 2 cm x 11 cm x 20 cm is completely filled with water. The water is then poured into a holl
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!