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3 years ago

The volume of a cone is 3πx3 cubic units and its height is x units.

Mathematics

2 answers:

GaryK [48]3 years ago

8 0

Answer:

It is given that the volume of a cone = $3 \pi x^{3}$ cubic units

Volume of cone with radius 'r' and height 'h' = $\frac{1}{3} \pi r^{2}h$

Equating the given volumes, we get

$3 \pi x^{3}$ = $\frac{1}{3} \pi r^{2}h$

$r^{2} h =3 \times 3 x^{3}$

$r^{2} h =9 x^{3}$

It is given that the height is 'x' units.

Therefore, $r^{2} x =9 x^{3}$

$r^{2} =9 x^{2}$

Therefore, r = 3x

So, the expression '3x' represents the radius of the cone's base in units.

Anvisha [2.4K]3 years ago

6 0

Answer: The volume given is 3Pi(x^3) and the radius is x. The formula for the volume of a cone is V= [1/3]Pi(r^2)*height => [1/3]Pi (r^2) x = 3Pi(x^3) => (r^2)x = 3*3(x^3) => (r^2)x = 9(x^3) => (r^2) = 9x^2 => r = sqrt[9x^2] = 3x.

So THE CORRECT Answer is: A) r = 3x

Step-by-step explanation: I just paid for this answer

You might be interested in

If A - B = {2,4,6}, B - A = {0,1,3}, and A∪B = {0,1,2,3,4,5,6,7,8}. What is A∩B?

jek_recluse [69]

Answer:

{5,7,8}

Step-by-step explanation:

A-B = {2,4,6} => A={2,4,6}

B - A = {0,1,3} => B= {0,1,3}

A∪B = {0,1,2,3,4,5,6,7,8}

=> A = {2,4,5,6,7,8}

B= {0,1,3,5,7,8}

=> A∩B = {5,7,8}

4 0

3 years ago

Significant Figures PracticeName________________________ Date_____________ Section________________

balu736 [363]

Answer:

1. State the number of significant digits in each measurement.

1) 2804 m = 4 significant digits

2) 2.84 km = 3 significant digits

3) 5.029 m = 4 significant digits

4) 0.003068 m = 4 significant digits

5) 4.6 x 10^5 m = 2 significant digits

6) 4.06 x 10^-5 m = 3 significant digits

7) 750 m = 2 significant digits

8) 75 m = 2 significant digits

9) 75,000 m = 2 significant digits

10) 75.00 m = 4 significant digits

11) 75,000.0 m = 6 significant digits

12) 10 cm = 1 significant digit

2. Round the following numbers as indicated:

To four figures:

3.6824172 = 3.682

1.86005137 = 1.860

5.652311 = 5.652

2.5114 = 2.511

5.4673 = 5.467

To one decimal place:

1.3511 = 1.4

2.473 = 2.5

5.687524 = 5.7

7.555 = 7.6

8.235 = 8.2

To two decimal places:

22.494 = 22.49

79.258 = 79.26

80.0306 = 80.03

23.4125 = 23.41

41.866323 = 41.87

Solve the following problems and report answers with appropriate number of significant digits.

1) 6.201 cm + 7.4 cm + 0.68 cm +12.0 cm = 26.281 cm (5 significant digits)

2) 1.6 km + 1.62 km +1200 km = 1203.22 km (6 significant digits)

3) 8.264 g - 7.8 g = 0.464 g (3 significant digits)

4) 10.4168 m - 6.0 m = 6.4168 (5 significant digits)

5) 12.00 kg+15.001 kg= 27.001 kg (5 significant digits)

6) 1.31 cm x 2.3 cm = 3.013 cm² (4 significant digits)

7) 5.7621 m x 6.201 m = 35.7307821 (9 significant digits)

8) 20.2 cm / 7.41 s = 2.726046 (7 significant digits)

Explanation

The significant digits of a number are the digits that have meaning or contribute to the value of the number. Sometimes they are also called significant figures.

Which digits are significant?

There are some basic rules that tell you which digits in a number are significant:

All non-zero digits are significant

Any zeros between significant digits are also significant

Trailing zeros to the right of a decimal point are significant

Which digits aren't significant?

The only digits that aren't significant are zeros that are acting only as place holders in a number. These are:

Trailing zeros to the left of the decimal point (note: these zeros may or may not be significant)

Leading zeros to the right of the decimal point

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3 years ago

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