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balandron [24]
3 years ago
13

Look at the image for the problem :)

Mathematics
1 answer:
8_murik_8 [283]3 years ago
5 0

Answer:

\displaystyle V = 28 \pi \ ft^3

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Geometry</u>

Volume of a Cylinder Formula: \displaystyle V = \pi r^2h

  • V is volume
  • r is radius
  • h is height

Step-by-step explanation:

<u>Step 1: Define</u>

Radius <em>r</em> = 2 ft

Height <em>h</em> = 7 ft

<u>Step 2: Solve for V</u>

  1. Substitute in variables [Volume of a Cylinder Formula]:                                \displaystyle V = \pi (2 \ ft)^2(7 \ ft)
  2. [Volume] Evaluate exponents:                                                                         \displaystyle V = \pi (4 \ ft^2)(7 \ ft)
  3. [Volume] Multiply:                                                                                             \displaystyle V = 28 \pi \ ft^3
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3 years ago
The volume of a cylinder can be expressed as V=πr2h, where r is the radius, and h is the height of the cylinder.
olga_2 [115]

<em>Note: You missed to add the answer choices, so I am solving the overall procedure to determine the radius of the cylinder so that you could easily figure out the right choice.</em>

Answer:

The radius of the cylinder:

  • r\:=\:\sqrt{\frac{v}{\pi \:h}}

Step-by-step explanation:

The volume of a cylinder is represented by the formula

V=πr²h

here

  • r is the radius
  • h is the height

The radius of the cylinder can be computed using the formula of the volume of a cylinder

V = πr²h

r² = V / πh

Taking square roots

r\:=\:\sqrt{\frac{v}{\pi \:h}}

Thus, the formula of the radius of the cylinder.

r\:=\:\sqrt{\frac{v}{\pi \:h}}

Therefore, the radius of the cylinder:

  • r\:=\:\sqrt{\frac{v}{\pi \:h}}
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