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3 years ago

1. Find the volume of a sphere with a radius of 10 inches. Use 3.14 for pi.

Mathematics

2 answers:

kipiarov [429]3 years ago

8 0

Volume of a sphere
=4/3 x pi x r^3
=4/3 x pi x 10^3
=4/3 x 3.14 x 1000
=4187 cm^3

dolphi86 [110]3 years ago

7 0

Answer: $1256in^{2}$

Step-by-step explanation:

The formula to find the radius of a sphere is $4(pi)r^{2}$

3.14*4*100=1256

I hope this helped

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Mark wants to fence 4 rectangular gardens, each with a length of 9 1/4 feet and a width of 4 1/2 feet. What is the total length

juin [17]

Answer:

110 feet

Step-by-step explanation:

Given that,

Length of the rectangular garden = 9 1/4 feet = 37/4 feet

Width of the rectangular garden = 4 1/2 feet = 9/4 feet

We need to find the total length of fencing Mark needs to surround all 4 gardens.

The length for 1 garden = perimeter of the garden

The length for 4 garden = 4×perimeter of the garden

= 4×2(l+b)

$=8(l+b)\\\\=8(\dfrac{37}{4}+\dfrac{9}{2})\\\\=8\times 13.75\\\\=110\ \text{feet}$

Hence, 110 feet is the total length of the fencing Mark needs to surround all 4 gardens.

5 0

3 years ago

Over the weekend halverson had put together 3/16 if a jigsaw puzzle while jamie put together 10/16 of the puzzle. Who had coplet

Luden [163]

Answer:

Jamie. by 7/16

Step-by-step explanation:

Halverson completed: 3/16

Jamie completed: 10/16.

To understand who completed more, look at the denominator. The common denominator is 16. Assume a puzzle has 16 pieces and Halverson did 3 out of 16 and Jamie did 10 out of 16. This means Jamie did more.

If you want to know by how much Jamie did more, it would be the difference of both the fraction. This means that 10 done by Jamie minus 3 done by Halverson, which is 7. So 7 out of 16 is the difference.

$\frac{10}{16} -\frac{3}{16}$

7 out of 16 can be written as 7/16

6 0

3 years ago

The grades on a language midterm at Santa Rita are roughly symmetric with u = 77 and o = 3.5.

labwork [276]

Answer:.86

Step-by-step explanation:

Put the given data within the formula for the zscore.

6 0

3 years ago

Money Flow The rate of a continuous money flow starts at $1000 and increases exponentially at 5% per year for 4 years. Find the

77julia77 [94]

Answer:

Present value = $4,122.4

Accumulated amount = $4,742

Step-by-step explanation:

Data provided in the question:

Amount at the Start of money flow = $1,000

Increase in amount is exponentially at the rate of 5% per year

Time = 4 years

Interest rate = 3.5% compounded continuously

Now,

Accumulated Value of the money flow = $1000e^{0.05t}$

The present value of the money flow = $\int\limits^4_0 {1000e^{0.05t}(e^{-0.035t})} \, dt$

= $1000\int\limits^4_0 {e^{0.015t}} \, dt$

= $1000\left [\frac{e^{0.015t}}{0.015} \right ]_0^4$

= $1000\times\left [\frac{e^{0.015(4)}}{0.015} -\frac{e^{0.015(0)}}{0.015} \right]$

= 1000 × [70.7891 - 66.6667]

= $4,122.4

Accumulated interest = $e^{rt}\int\limits^4_0 {1000e^{0.05t}(e^{-0.035t}} \, dt$

= $e^{0.035\times4}\times4,122.4$

= $4,742

8 0

3 years ago

Find the radius of the cylinder when volume is 304 cm^3 and height is 10 cm

aleksandr82 [10.1K]

Answer:

solution,

Volume of cylinder=304 cm^3

height=10 cm

Radius=?

Now,

$volume = \pi {r}^{2} h \\ or \: 304 = 3.14 \times {r}^{2} \times 10 \\ or \: 304 = 31.4 \times {r}^{2} \\ or \: {r}^{2} = \frac{304}{31.4} \\ or \: {r}^{2} = 9.68 \\ or \: r = \sqrt{9.68} \\ or \: r = \sqrt{ {(3.11)}^{2} } \\ r = 3.11 \: cm$

Hope this helps..

Good luck on your assignment..

7 0

3 years ago