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3 years ago

6

The volume, V, of a right cone varies jointly with the square of the radius of the base, r, and the height, h. When r = 6 and h

= 8, the volume of the cone is 96π. What is the formula for the volume of a right cone?

1 answer:

Sveta_85 [38]3 years ago

6 0

Answer:

V=πr^2(h/3)

Step-by-step explanation:

V=π6^2(8/3)

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Find the volume of the solid bounded by z = 2 - x2 - y2 and z = 1. Express your answer as a decimal rounded to the hundredths pl

butalik [34]

Answer:

The answer is " $(\frac{\pi}{2})$ ".

Step-by-step explanation:

$z = 2 - x^2 - y^2.........(1) \\\\z = 1.............(2)$

Let add equation 1 and 2:

Using formula: $x^2+y^2=1 \\\\$

convert to polar coordinates

$r=2$

$\theta \varepsilon (0=\pi)=z\\\\V=\int^{2\pi}_{\theta=0}\int^{1}_{\pi=0}\int^{z_{2}}_{z_1} r \ dr \d \theta\\\\$

$=\int^{2\pi}_{0}\int^{1}_{0} (Z_2-z_1)r \ dr \d \theta\\\\=\int^{2\pi}_{0}\int^{1}_{0} 1- (-1-x^2-y^2) r \ dr \d \theta\\\\=\int^{2\pi}_{0}\int^{1}_{0} (+1 \pm r^2) r \ dr \d \theta\\\\=\int^{2\pi}_{0}\int^{1}_{0} (-r^3 + r) \ dr \d \theta\\\\=\int^{2\pi}_{0} (-\frac{r^4}{4}+\frac{r^2}{1})^{1}_{0} \d \theta\\\\=\int^{2\pi}_{0} (\frac{1}{4}) \d \theta\\\\=(\frac{2 \pi}{4}) \\\\=(\frac{\pi}{2}) \\\\$

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2 years ago

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Step-by-step explanation:

A. gof=g(f(x))

= g(f(6))

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John decided to look at new and used cars. John found a used car for $6000. A new car is $18000, so what percent of the price of

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John decided to look at new and used cars. John found a used car for $6000. A new car is $18000, so what percent of the price of a new car does John pay for a used car? Round your answer to the nearest tenth if necessary.

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I think it would be Kate,Kevin and then Levi
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8. Colby and Cheryl work in different local supermarkets. Colby regularly earns $8.90 per hour,

faust18 [17]

Answer:

colby

hourly rate =$8.90

overtime rate = time and a half = 1.5

the hourly overtime rate is the product of the overtime rate and the hourly rate.

hourly overtime rate= overtime rate × hourly rate

= 1.5 × $8.90

= $13.35

Cheryl

hourly rate = $7.10

overtime rate = double time = 2

the hourly overtime rate is the product of overtime rate and the hourly rate.

hourly overtime rate = overtime rate × hourly rate

= 2 × $7.10

= $14.20

<h3>Comparison</h3>

we note that the hourly overtime rate of cheryl is higher than the hourly overtime rate of colby, which implies that cheryl earns more for one hour of overtime.

we are also interested in the difference of the hourly overtime rate:

hourly overtime rate colby — hourly overtime rate cheryl

= $14.20 – $13.35

= $0.85

thus cheryl earns $0.85 more for one hour of overtime than colby .

<h3>result</h3>

<h2>cheryl,$0.85</h2>

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