Mathematics, 04.08.2020 14:01 marisol56

An icicle is in the shape of an inverted cone with a diameter of 14 mm and a height of 60 mm. How much frozen water is in the icicle? Use 3.14 for Round the answer to the nearest tenth
A 188.4 mm
B 980.0 mm
C 3,077.2 mm
D 9,231.6 mm

Answers: 3

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Answers

Answer from: aliceohern

Option C. 3077.2 mm³

Step-by-step explanation:

Data obtained from the question include the following:

Diameter (d) = 17 mm

Height (h) = 60 mm

Pi (π) = 3.14

Volume =?

Next, we shall determine the radius of the cone. This is illustrated below:

Diameter (d) = 17 mm

Radius (r) =.?

Radius (r) = diameter (d)/2

r = d/2

r = 14/2

r = 7 mm.

The radius therefore, is 7 mm.

To know how much frozen water

is in the icicle, we shall calculate the volume of the icicle using the formula for calculating the volume of a cone. This is illustrated below:

Height (h) = 60 mm

Pi (π) = 3.14

Radius (r) = 7 mm

Volume =..?

V = ⅓πr²h

V = ⅓ × 3.14 × 7² × 60

V = 3.14 × 49 × 20

V = 3077.2 mm³

Therefore, the amount of frozen water in the icicle is 3077.2 mm³

Answer from: Quest

Atranslation 6 units to the right and 4 down

Answer from: Quest

x= 1

step-by-step explanation: convert 5\frac{11}{12}5

to improper fraction. use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

ac+b

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{5\times 12+11}{12}3.25+0.5x+1

5×12+11

2 simplify 5\times 125×12 to 6060

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{60+11}{12}3.25+0.5x+1

60+11

3 simplify 60+1160+11 to 7171

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{71}{12}3.25+0.5x+1

4 simplify \frac{5}{6}x

x to \frac{5x}{6}

3.25+0.5x+1\frac{1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+1

5 convert 1\frac{1}{3}1

to improper fraction. use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

ac+b

3.25+0.5x+\frac{1\times 3+1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

1×3+1

6 simplify 1\times 31×3 to 33

3.25+0.5x+\frac{3+1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

3+1

7 simplify 3+13+1 to 44

3.25+0.5x+\frac{4}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

8 simplify 3.25+0.5x+\frac{4}{3}+\frac{5x}{6}3.25+0.5x+

to \frac{13.75}{3}+\frac{4x}{3}

13.75

\frac{13.75}{3}+\frac{4x}{3}=\frac{71}{12}

13.75

9 simplify \frac{13.75}{3}

13.75

to 4.5833334.583333

4.583333+\frac{4x}{3}=\frac{71}{12}4.583333+

10 subtract 4.5833334.583333 from both sides

\frac{4x}{3}=\frac{71}{12}-4.583333

−4.583333

11 simplify \frac{71}{12}-4.583333

−4.583333 to \frac{4}{3}

\frac{4x}{3}=\frac{4}{3}

12 multiply both sides by 33

4x=\frac{4}{3}\times 34x=

×3

13 simplify \frac{4}{3}\times 3

×3 to \frac{12}{3}

4x=\frac{12}{3}4x=

14 simplify \frac{12}{3}

to 44

4x=44x=4

15 divide both sides by 44

x=1

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An icicle is in the shape of an inverted cone with a diameter of 14 mm and a height of 60 mm. How mu...