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xxTIMURxx [149]
2 years ago
10

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 48 cm³.

Mathematics
1 answer:
Taya2010 [7]2 years ago
7 0

Answer:

32 cm³

Step-by-step explanation:

Volume of a sphere is:

V_{s}=\frac{4}{3}\pi r^{3}

Volume of a cylinder is:

V_{c} = \pi r^{2} h

The volume of the cylinder is 48 cm³.

The cylinder has the same radius (r) and height (2r) as the sphere.

48 = \pi r^{2} (2r)\\48 = 2\pi r^{3}\\24 = \pi r^{3}

Therefore, the volume of the sphere is:

V_{s}=\frac{4}{3} (24)\\V_{s}=32

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monitta

Answer:

1) 20

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Step-by-step explanation:

1. first quartile is the beginning of the box

2. third quartile is the end of the box

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4. vice versa of 3

6 0
2 years ago
Juan rode 72 km on his bike in 4 hours. Find the unite rate.
Westkost [7]

Answer:

18 km/hr

Step-by-step explanation:

To find the unit rate, we must find the rate in kilometers per hour.

Let’s divide the total kilometers by the total number of hours.

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3 0
3 years ago
42x^2 + 32 - 18 =6062
Elenna [48]
Okay, we start with 42x^2 + 32 - 18 = 6062. To solve single-variable equations like this one, we want to isolate the x by moving all of the other numbers to the other side of the equation. We need to first subtract 32 and 18, and that equals 14. Now our problem looks like this, 42x^2 + 14 = 6062. Since 14 is the only other number on the left side, we subtract four from both sides! This gives us 42x^2 + 14 - 14 = 6062 - 14, so 42x^2 = 6062. Now to find x, we want to just have one x on the left side instead of 42, so we divide the equation by 42 to find that 42x^2/42 = 6048/42, so x = 12
4 0
2 years ago
How many hours did Miriam stop to rest? How many hours did it take Miriam to walk the initial 8 miles?
makvit [3.9K]
Give the rest of the question
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3 years ago
SUppose the total cost C(x) to manufacture a quantity x of insecticide (in hundreds of liters) is given by
Hitman42 [59]

Answer:

a) C(x) is increasing in two regions: (i) (+\infty, 8\,s) and (ii) (10\,s,+\infty).

b) C(x) decreases in (8\,s, 10\,s).

Step-by-step explanation:

Let C(x) = x^{3}-27\cdot x^{2}+240\cdot x +850, where x is the quantity of insecticide, measured in hundreds of liters, and C(x) is the total manufacturing cost as a function of the quantity of the insecticide, measured in US dollars. A possible approach to determine which regions of C(x) are decreasing and increasing by means of the first derivative and graphing tools. The first derivative of the function is:

C'(x) = 3\cdot x^{2}-54\cdot x+240 (1)

Please notice that regions where C(x) is increasing has C'(x) > 0, whereas C'(x) < 0 when C(x) < 0.

We notice that C(x) is increasing in two regions: (i) (+\infty, 8\,s) and (ii) (10\,s,+\infty). Besides, C(x) decreases in (8\,s, 10\,s).

6 0
3 years ago
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