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The volume of a spherical sculpture is 256 ft³. Rhianna wants to estimate the surface area of the sculpture. To do the estimate,

Brrunno [24]

Answer:

192 $ft^2$

Step-by-step explanation:

Given that

Volume of spherical sculpture = 256 ft³

$\pi$ is used as 3.

To find:

Surface area of sculpture = ?

Solution:

First of all, let us learn about the formula for Volume and Surface Area of Sphere:

1. $Volume =\frac{4}{3}\pi r^3$

2. $Surface\ Area = 4\pi r^2$

Given volume is 256 ft³.

$256 = \dfrac{4}{3}\pi r^3\\\Rightarrow 256 = \dfrac{4}{3}\times 3 r^3\\\Rightarrow 256 = 4 r^3\\\Rightarrow r^3=64\\\Rightarrow \bold{r = 4\ ft}$

Now, let us put r = 4 in the formula of Surface Area to find the value of Surface Area:

$Surface\ Area = 4\pi 4^2 = 4 \times 3 \times 16 = \bold{192\ ft^2}$

So, approximate surface area of sculpture is 192 $ft^2$ .

3 0

3 years ago

Simplify this.<br><br> 5^5 / 5^8

viva [34]

This would come as close as I know to solving this .

6 0

4 years ago

What are three reasons people act in responsible ways?

erica [24]

People may act responsibly to set a good example for others, to impress other people, or to feel proud of their actions.

7 0

4 years ago

Read 2 more answers

Question: The meaning of four consecutive even numbers is 15.

nasty-shy [4]

First, a bit of housekeeping:

<span>The meaning of four consecutive even numbers is 15. Wouldn't that be "mean," not meaning? Very different concepts!

The greatest of these numbers is _______ a^1

"a^1" means "a to the first power. There are no powers in this problem statement. Perhaps you meant just "a" or "a_1" or a(1).

The least of these numbers is ______a^2.
No powers in this problem statement. Perhaps you meant a_2 or a(2)

In this problem you have four numbers. All are even, and there's a spacing of 2 units between each pair of numbers (consecutive even).

The mean, or arithmetic average, of these numbers is (a+b+c+d) / 4, where a, b, c and d represent the four consecutive even numbers. Here this mean is 15. The mean is most likely positioned between b anc c.

So here's what we have: a+b+c+d
------------- = 15
4

This is equivalent to a+b+c+d = 60.

Since the numbers a, b, c and d are consecutive even integers, let's try this:

a + (a+2) + (a+4) + (a+6) = 60. Then 4a+2+4+6=60, or 4a = 48, or a=12.

Then a=12, b=14, c=16 and d=18. Note how (12+14+16+18) / 4 = 15, which is the given mean.

We could also type, "a(1)=12, a(2)=14, a(3) = 16, and a(4) = 18.

</span>

8 0

4 years ago

Help!!! I don’t understand how to do this

Olegator [25]

Answer:

85 degrees

Step-by-step explanation:

the sum of supplementary angles=180

155+ angle in the triangle=180

angle=180-155

angle=25 degrees

the sum of angles of triangle=180

25+60+x=180

85+x(inside triangle)=180

x=180-85

x=95

angle with (?):

the sum of supplementary angles=180

95+(?)=180

(?)=180-95

(?)=85 (An exterior angle of a triangle is equal to the sum of the opposite interior angles)

3 0

3 years ago