How many movies, m, can she download for $50?

A hemisphere-shaped bowl with radius 1 foot is filled full with chocolate. All of the chocolate is then evenly distributed betwe

Wewaii [24]

The radius of each of the smaller molds is r = 1/3 ft. Using the volume of the given hemisphere, the required radius is calculated.

<h3>How to calculate the volume of a hemisphere?</h3>

The volume of the hemisphere is calculated by using the formula,

= $\frac{2}{3}$ × π × r³ cubic units

where r is the radius of the hemisphere.

<h3>Calculation:</h3>

It is given that,

A hemisphere-shaped bowl with a radius r = 1 ft is filled with chocolate.

So, the volume of the bowl is

V = $\frac{2}{3}$ × π × (1)³

= $\frac{2}{3}$ × π cubic feets

The volume of each smaller hemisphere-shaped mold = $\frac{2}{3}$ × π × r³ cubic units

So, for 27 molds, the volume = 27 × $\frac{2}{3}$ × π × r³ cubic units

All of the chocolate is then evenly distributed between 27 congruent, smaller hemisphere-shaped molds.

Then,

$\frac{2}{3}$ × π = 27 × $\frac{2}{3}$ × π × r³

⇒ r³ = 1/27

⇒ r = 1/3 ft

Therefore, the required radius of each of the smaller molds is 1/3 foot.

Learn more about the volume of a hemisphere here:

brainly.com/question/15975126

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6 0

2 years ago

Suppose that you borrow $30,000 for four vears at 8% for

Thepotemich [5.8K]

Answer:

$41269.983

rounded:

$41,269.98

Step-by-step explanation:

well you begin with the equation a=p(1+r/n) $^{nt}$

so 30,000(1+0.08/12)to the power of 4 times 12

when you plug all of that in a calculator your receive $41269.983

4 0

2 years ago

Read 2 more answers

If g(x) = |2x-9|, find g(2)+g(3)

Semenov [28]

X=5 , x=3 - just plug in 2 and 3 into x and the lines will make it positive instead of negative

5 0

2 years ago

A community swimming pool is a rectangular prism that is 30 feet long, 12 feet wide, and 5 feet deep. The wading pool is half as

topjm [15]

Answer:

The volume of the community swimming pool is 4 times greaters than the volume of the wading pool.

Step-by-step explanation:

By definition of rectangular prism, we get the respective formulas for the volumes of the community swimming pool and the wadling pool, respectively:

Community swimming pool

$V_{c} = l\cdot w\cdot h (1)$

Wading pool

$V_{w} = \left(\frac{1}{2}\cdot l \right)\cdot \left(\frac{1}{2}\cdot h\right)\cdot w (2)$

Where:

l – Length of the swimming pool, measured in feet.

h – Depth of the swimming pool, measured in feet.

w – Width of the swimming pool, measured in feet.

$V_{c}$ – Volume of the community swimming pool, measured in cubic feet.

$V_{w}$ – Volume of the wading swimming pool, measured in cubic feet.

The ratio of the volume of the community swimming pool to the volume of the wadling pool is:

$\frac{V_{c}}{V_{w}} = \frac{l\cdot w \cdot h}{\left(\frac{1}{2}\cdot l \right)\cdot \left(\frac{1}{2}\cdot h\right)\cdot w} (3)$

$\frac{V_{c}}{V_{w}} = \frac{1}{\frac{1}{4} }$

$\frac{V_{c}}{V_{w}} = 4$

The volume of the community swimming pool is 4 times greaters than the volume of the wading pool.

8 0

2 years ago

Read 2 more answers

A newspaper provided a "snapshot" illustrating poll results from 1910 professionals who interview job applicants. The illustrat

Darya [45]

Answer:

confidence level is missing

Step-by-step explanation:

<em>1.confidence level </em>

The results can be given only in a predetermined confidence level

<em>2. point estimate</em>

The illustration states the estimate 26% of the professionals who interview job applicants said the biggest interview turnoff is that the applicant did not make an effort to learn about the job or the company.

<em>3.sample size</em>

Sample size is given as 1910 people

<em>4.confidence interval </em>

Confidence interval is given ±3 around the point of estimate

3 0

3 years ago