Mathematics, 16.05.2021 05:10 amandavertre

What is the volume of the cone below? ):

Answers: 3

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Answer from: AlexBeWare1210

A. 112π units³

General Formulas and Concepts:

Symbols

π (pi) ≈ 3.14

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Volume of a Cone Formula: $\displaystyle V = \frac{1}{3} \pi r^2h$

r is radiush is height

Step-by-step explanation:

Step 1: Define

Radius r = 4

Height h = 21

Step 2: Find Volume

Substitute in variables [Volume of a Cone Formula]: $\displaystyle V = \frac{1}{3} \pi (4)^2(21)$ Evaluate exponents: $\displaystyle V = \frac{1}{3} \pi (16)(21)$ Multiply: $\displaystyle V = \frac{16 \pi}{3}(21)$ Multiply: $\displaystyle V = 16 \pi \cdot 7$ Multiply: $\displaystyle V = 112 \pi$

Answer from: Quest

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be). so point b is at (-2,2). point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

Answer from: Quest

What mathematical statement is missing ? ? the answer is b

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What is the volume of the cone below? ):
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