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3 years ago

9

A cylinder has a diameter of 6 cm and a height of 14 cm. What is the approximate volume of a cone with the same diameter and hei

ght
as the cylinder?

1 answer:

Feliz [49]3 years ago

3 0

Answer:

volume of cone=1/3 ×π×(d/2)²h=1/3 ×22/7×6²/4×14=924cm³

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A major baseball diamond is a square with side lengths of 90 feet.

iren2701 [21]

Answer: $\bold{a)\quad 90\sqrt2\qquad \qquad b)\quad 45\sqrt2}$

<u>Step-by-step explanation:</u>

Since you are looking for the distance from home plate to second base, you are actually looking for the length of the diagonal of the square. Use the Pythagorean Theorem: a² + b² = c² where a and b are the side lengths and c is the length of the diagonal.

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Translate "the product of z,x, and y"<br> into a mathematical expression

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z*x*y

Product means multiply

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Melissa Costouras obtains a $3,000 loan for darkroom equipment. She makes six monthly payments of $511.18. Determine the APR.

nasty-shy [4]

Using the simple interest formula, it is found that the APR for the loan is of 4.472%.

<h3>What is the simple interest formula and when it is used?</h3>

Simple interest is used when there is a single compounding per time period.

The amount of money after t years in is modeled by:

$A(t) = A(0)(1 + rt)$

In which:

A(0) is the initial amount.

r is the interest rate, as a decimal.

The parameters for this problem are:

A(t) = 6 x 511.18 = 3067.08, A(0) = 3000, t = 0.5.

We solve the equation for r to find the APR.

$A(t) = A(0)(1 + rt)$

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$1 + 0.5r = \frac{3067.08}{3000}$

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r = (1.02236 - 1)/0.5

r = 0.04472.

More can be learned about simple interest at brainly.com/question/25296782

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2 years ago

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Lostsunrise [7]

The answer is B) 4:5

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28:35
--- ----
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3 years ago

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What is the volume of a cylinder with

levacccp [35]

Answer:

V = 785 cm³

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

<u>Geometry</u>

Volume of a Cylinder Formula: V = πr²h

<em>r</em> is radius
<em>h</em> is height

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify variables.</em>

<em>r</em> = 5 cm

<em>h</em> = 10 cm

<u>Step 2: Find Volume</u>

Substitute in variables [Volume of a Cylinder Formula]: V = (3.14)(5 cm)²(10 cm)
[Order of Operations] Evaluate: V = 785 cm³

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3 years ago