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Helga [31]
2 years ago
15

Giving brainliest!! *easy*

Mathematics
1 answer:
Sindrei [870]2 years ago
4 0

Surface area is 1256.64

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Find the following, giving your answers
stellarik [79]

Answer:

  a) 301.6 cm³

  b) 188.5 cm²

Step-by-step explanation:

The volume and lateral surface area of the cone can be found using the given dimensions with the given formulas. All that is needed is to substitute the appropriate values and do the arithmetic.

__

<h3>a) volume</h3>

The volume is given by the formula ...

  V = 1/3πr²h

The dimensions are given on the diagram: r = 6 cm, h = 8 cm. Using these values in the formula, we find the volume to be ...

  V = 1/3π(6 cm)²(8 cm) = 96π cm³ ≈ 301.6 cm³

The volume of the cone is about 301.6 cm³.

__

<h3>b) area</h3>

The lateral area of the cone is given by the formula ...

  A = πrl

The dimensions are given on the diagram: r = 6 cm, l = 10 cm (the slant height). Using these values in the formula, we find the area to be ...

  A = π(6 cm)(10 cm) = 60π cm² ≈ 188.5 cm²

The area of the curved surface is about 188.5 cm².

4 0
2 years ago
Find all solutions of the equation in the interval (0,2π) <br> cot theta +root 3 = 0
Alisiya [41]

Answer:

θ = 5π/6 rad and 11π/6 rad

Step-by-step explanation:

Given the expression cotθ+√3=0

Subtract √3 from both sides

cotθ+√3-√3=0-√3

cotθ = -√3

Since cotθ = 1/tanθ

1/tanθ = -√3

Reciprocate both sides:

tanθ = -1/√3

θ = tan^-1(-1/√3)

θ = -30°

Since the angle is negative, and tanθ is negative in the second and fourth quadrant.

In the second quadrant;

θ = 180-30

θ = 150°

Since 180° = πrad

150° = 150π/180

150° = 5π/6 rad

In the fourth quadrant;

θ = 360-30

θ = 330°

Since 180° = πrad

330° = 330π/180

330° = 11π/6 rad

Hence the solutions are 5π/6 rad and 11π/6 rad.

7 0
3 years ago
1. Subtract. 9 1/3-1 2/3 = ? Explain how you got the answer.
AleksAgata [21]
My answer is 8 5/9
First, you have to multiply the denominators to get your least common denominator.
Second, you have to multiply the numerators and the denominators together to get two different fractions with the same denominator. You should get 9 3/9 and 1 6/9.

Your answer should be 8 5/9
8 0
3 years ago
What is the slope of a line containing (4,6) and (0,8)?
AlladinOne [14]

Answer:

m=\frac{-1}{2}

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS

<u>Algebra I</u>

  • Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

Point (4, 6)

Point (0, 8)

<u>Step 2: Find slope </u><em><u>m</u></em>

  1. Substitute:                    m=\frac{8-6}{0-4}
  2. Subtract:                       m=\frac{2}{-4}
  3. Simplify:                        m=\frac{-1}{2}
3 0
2 years ago
Read 2 more answers
AB and BC share point B to form AC. If AC=7 and BC=5, then what is the length of AB?
AnnZ [28]
|AC|=7;\ |BC|=5\\\\|AC|=|AB|+|BC|\\\\|AB|+5=7\ \ \ \ \ |subtract\ 5\ from\ both\ sides\\\\\boxed{|AB|=2}

4 0
3 years ago
Read 2 more answers
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