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andreyandreev [35.5K]
3 years ago
11

The volume of a sphere is 3,000π m3. What is the surface area of the sphere to the nearest square meter?

Mathematics
1 answer:
kolezko [41]3 years ago
8 0
First, solve for the radius of the sphere using the volume and the equation,
                                  V = 4πr³ / 3
Substituting for the known values,
                       3000π m³ = 4πr³/3
The value of r from the equation is approximately 13.10 meters. The equation for the surface area is,
                             SA = 4πr²
Substituting the value of radius,
                             SA = 4π(13.10 m)² = 2157.74 m²
Therefore, the surface area is approximately 2157.74 m².
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What is the volume of a cone that has a height of 10 feet and a base with a diameter of 2 and half feet?
lyudmila [28]
Volume of a cone: 1/3\pir²h
r is the radius (diameter ÷ 2) and h is the height.

Find the radius first using the diameter: 2\frac{1} {2} ÷ 2 = 1.25

Now plug in the numbers into the formula.

1/3\pi1.25²10 = <span>16.4
</span>
The volume of the cone is 16.4 cubic feet.
6 0
3 years ago
Two factors whose product is 84 are 12 and _[blank]_.
djyliett [7]

Answer: 7

Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

1. You know that a multiplication has the following form:

a*b=c

Where a and b are the factors and c is the product.

2. You know one of the factor, then you can find the second one as following:

12*b=84

b=84/12

b=7

Therefore the answer is 7.

7 0
3 years ago
10. The length of the radius of a bicycle wheel is 14 inches. Which of the following is closest to the circumference of the whee
Elina [12.6K]

Answer:

87.92

Step-by-step explanation:

you have your radius 14 inches  to get the  answer is

1: pie   is 3.14

2: circumference is 2× 3.14×14

3: 3.14×14

4: 43.96 × 2

5 0
3 years ago
3(x-2)5 simplified and tiles
BartSMP [9]

Answer:

Step-by-step explanation:

7 0
2 years ago
Line segment ab has endpoints a(9, 3) and b(2, 6). find the coordinates of the point that divides the line segment directed from
Dominik [7]
When we are to divide the line segment such that the ratio is 1:2, there are actually 3 parts of the segment. First, we determine the distance between the coordinates and divide the distance by 3. Then, we add the quotient to the x-coordinate.

x-coordinate:    (2 - 9) / 3 = -7/3
y-coordinate:    (6 - 3 ) / 3 = 1

Adding them to the coordinates of a,
           x - coordinate: (9 - 7/3) = 20/3
           y - coordinate: (3 + 1) = 4
Thus, the coordinates are (20/3, 4). 
7 0
3 years ago
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