Ask question

Ask question

All categories

3 years ago

10

The 2nd question (the answer is c) but I don't know why so can someone solve this for me ?

1 answer:

Genrish500 [490]3 years ago

7 0

The formula for surface area of a sphere is A=4*PI*r^2

Using that formula and the known surface are we can find the radius. We can then use that to find the volume.

500 = 4*PI*r^2

Divide both sides by 4:
500/4 = PI *r^2
125 = PI *r^2

Divide both sides by PI

125/PI = r^2
39.79 = r^2
r = SQRT(39.79)
r = 6.3 cm

Now we can find volume using V=4/3*PI*r^3

V = 4/3 *PI *6.3^3

V= 1051.3

The answer is C

You might be interested in

The scale factor for a model is 5cm= m model: 9.5cm actual : 30.5m

MaRussiya [10]

We are given dimensions of model and actual figure.

model: 9.5cm actual : 30.5m.

We need to find the length of actual shape for the scale factor 5cm.

Let us assume actual length be x m.

Let us set a proportion now.

<h3>5 : x = 9.5 : 30.5</h3>

Let us convert proportion into fractions.

$\frac{5}{x}=\frac{9.5}{30.5}$

On cross multiplying, we get

9.5x = 5× 30.5

9.5x = 152.5.

On dividing both sides by 9.5, we get

$\frac{9.5x}{9.5}=\frac{152.5}{9.5}$

x=16.05.

<h3>Therefore, the scale factor for a model is 5cm= 16.05 m.</h3>

6 0

4 years ago

A realtor is studying the graph above, which shows the expected value of properties in her area over the next 24 years. If t rep

sleet_krkn [62]

Answer:

2030

Step-by-step explanation:

the graph starts to decline 16 years after 2014 so 2014 + 16 = 2030

7 0

3 years ago

The measure of one angle of a right angle is 50 more then the measure of the smallest angle

Nataly_w [17]

Answer:

70° and 20°

Step-by-step explanation:

let x be the measure of one angle then x + 50 is the measure of the other angle, thus

x + 50 + x = 90

2x + 50 = 90 ( subtract 50 from both sides )

2x = 40 ( divide both sides by 2 )

x = 20

The smallest angle is 20° and the other angle is 20 + 50 = 70°

5 0

3 years ago

Koran is spending $12 on games and rides at another carnival, where a game costs $0.25 and a ride costs $1.

Vlad [161]

Answer:

$0.25x+y=12$

Step-by-step explanation:

Let

y ----> the number of rides

x ---> the number of games

we know that

The number of rides multiplied by $1 plus the number of games multiplied by $0.25 must be equal to $12 (the dollar amount Koran is spending)

so

The equation that represent this situation is

$0.25x+y=12$

5 0

3 years ago

Which of the two solids below are similar ?

Pachacha [2.7K]

Answer: I and II.

Step-by-step explanation:

By definition, two solids are similar if their corresponding sides are in the same ratio.

Knowing this, let's find which solids are similar:

Corresponding sides ratio of solids I and II:

$\frac{3}{2}=\frac{2}{\frac{4}{3}}=\frac{5}{\frac{10}{3}}$

$\frac{3}{2}=\frac{3}{2}=\frac{3}{2}$

Corresponding sides ratio of solids I and III:

$\frac{3}{\frac{9}{2}}=\frac{2}{3}=\frac{5}{8}$

$\frac{2}{3}=\frac{2}{3}=\frac{5}{8}$

Corresponding sides ratio of solids II and III:

$\frac{2}{\frac{9}{2}}=\frac{\frac{4}{3}}{3}}=\frac{\frac{10}{3}}{8}}$

$\frac{4}{9}=\frac{4}{9}=\frac{5}{12}$

You can observe that the solids I and II are similar.

3 0

3 years ago