Rewrite the expression without parentheses by using the Distributive Property p(q-r) VERY URGENT!

How does the volume of a sphere compare to that of the volume of a cylinder? What would you say the scale factor for Vol sphere:

borishaifa [10]

Answer:

The volume of a sphere is 2/3 times the volume of a similar cylinder

Scale factor : 2/3

Step-by-step explanation:

Let us consider a sphere of radius r. The volume of the sphere will be given as

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

Similarly, let us consider a cylinder with its height being twice the radius of the sphere. We will have its volume given as:

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

but h = 2r

Hence we have

$V_{c}= 2\pi r^{3}h$

We can divide the two volumes to get a constant that links them together

$\frac{V_{s}}{V_{c}}=\frac{\frac{4}{3} \pi r^{3}}{2\pi r^{3}h}$

this will give us 2/3

Hence the scale factor for Vol sphere: Vol cylinder is 2/3

3 0

3 years ago

Anne wants to fill 12 hanging baskets with compost. Each hanging basket is a hemisphere of diameter 40 cm.

murzikaleks [220]

Answer:

no

Step-by-step explanation:

Steps to answering this question

determine the volume of the 12 basket

volume of a hemisphere = (2/3)πr^3

n = 22/7

r = radius

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

radius = 40/2 = 20 cm

volume of one hemisphere = (2/3) x (22/7) x (20^3) = 16,761.90 cm^3

volume of the 12 baskets = 16,761.90 cm^3 x 12 = 201,142.86 cm^

2. convert the litres of compost to cm and multiply by the total bags of compost

1 litre = 1000cm

1 bag of compost = 50 x 1000 = 50,000

4 bags of compost = 50,000 x 4 = 200,000 cm

3. compare which figure is higher. the figure gotten in step 1 or 2

201,142.86 cm^3 is greater than 200,000

there is no enough compost

473691.4

273691.4

3 0

2 years ago

So when you are adding fractions how do you know when you need to simplify the numbers and how do you simplify?

rosijanka [135]

Let's look at an example.

We'll add the fractions 1/6 and 1/8

Before we can add, the denominators must be the same.

To get the denominators to be the same, we can...

multiply top and bottom of 1/6 by 8 to get 8/48
multiply top and bottom of 1/8 by 6 to get 6/48

At this point, both fractions involve the denominator 48. We can add the fractions like so

8/48 + 6/48 = (8+6)/48 = 14/48

Add the numerators while keeping the denominator the same the entire time.

The last step is to reduce if possible. In this case, we can reduce. This is because 14 and 48 have the factor 2 in common. Divide each part by 2.

14/2 = 7
48/2 = 24

The fraction 14/48 reduces to 7/24

Overall, 1/6 + 1/8 = 7/24

6 0

2 years ago

Samantha soends 45 minutes at the gym for 6 days a week. how many hours does she spend at the gym

Alexxx [7]

45 minutes * 6 days = 270 minutes at the gum

but we need to change minutes to hours

1 hours = 60 minutes

270 minutes * 1 hr/60 minutes =

270/60 hours

divide top and bottom by 10

27/6

divide top and bottom by 3

9/2

4.5 hours

7 0

2 years ago

The perimeter of a Balcony is 26 ft it is 4 ft wide how long is it?

Dmitrij [34]

Answer:

30ft

Step-by-step explanation:

if you add 26 and 4, you'll get an answer of 40

8 0

3 years ago