1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Artemon [7]
2 years ago
12

The Reunion Tower is one of the most recognizable landmarks in Dallas, Texas due to the giant sphere that sits atop the structur

e. The sphere, which houses observation decks accessible to visitors, has a diameter of 118 feet. Which value is closest to the volume of the dome? Use 3.14 for π.
A. 859,852ft^3
B. 1,679,406ft^3
C. 2,350,879ft^3
D. 2,510,782ft^3
Mathematics
1 answer:
ValentinkaMS [17]2 years ago
6 0
The volume of a sphere uses the following formula:

V = \frac{4}{3}\pi r^{3}

Because the question asks to use 3.14 in place of pi, the formula will now look like this:

V = (\frac{4}{3})(3.14)r^{3} = 4.18\overline{66} r^{3}

We are given a diameter of 118 feet. The radius is half of the diameter, so divide the diameter by 2 to find the radius:

118 \div 2 = 59
r = 59

Plug this value into the formula, and solve with a calculator:

4.18\overline{66} \times 59^3 = 4.18\overline{66} \times 205379 = 859853.413

Although our result is one cubic foot off, the answer is <span>A. 859,852ft^3.

(859,852 is the result if the constant in the given formula is 4.18666, but the result with infinitely repeating numbers is 859,853.)</span>
You might be interested in
Stan ran 4 and StartFraction 7 Over 10 EndFraction miles, which was 1 and StartFraction 3 Over 10 EndFraction fewer miles than M
victus00 [196]

Answer:

6 miles

Step-by-step explanation:

From the above question:

Stan ran 4 and StartFraction 7 Over 10 EndFraction miles

The number of miles stan ran =

4 7/10 miles

We are also told that this number of miles was 1 and StartFraction 3 Over 10 EndFraction fewer miles than Matt ran.

Let the number of miles Matt ran = m

Hence,

4 7/10 miles = m - 1 3/10

m = 4 7/10 + 1 3/10

m = (4 + 1) + ( 7/10 + 3/10)

m = 5 + (7 + 3/10)

m = 5 + (10/10)

m = 5 + 1

m = 6 miles

Therefore, the number rod miles Matt ran was 6 miles

7 0
3 years ago
Use the Distributive Property to expand 9(3 + x).
tankabanditka [31]
Distribute the 9 to each term in the parentheses with multiplication.

9(3 + x) = 27 + x

But this is usually written as x + 27
4 0
2 years ago
Read 2 more answers
Suppose that a college student is taking three courses: a two-credit course, a three-credit course, and a four-credit course. Th
Colt1911 [192]

Answer:

3.11

Step-by-step explanation:

[(3.5)(2) + (3)(3+4)] ÷ 9

(7 + 21)/9 = 28/9

3.111111

3.11

6 0
3 years ago
Read 2 more answers
Find the value of y.
Serggg [28]
for this question you would need to utilize ratios to find the side lengths. For example, set up a ratio between the big triangle with the small triangle to find a side length
4 0
2 years ago
Read 2 more answers
A numerical pass code is required to open a car door. The pass code is five digits long and uses the digits 0-9.
topjm [15]

Answer:

100000 pass codes

Step-by-step explanation:

the pass code form is: abcde

a: 10 numbers to choose

b: 10 numbers

c: 10 numbers

d: 10 numbers

e: 10 numbers

so there are 10^5 = 100000 pass codes exist

8 0
2 years ago
Other questions:
  • Heidi, a jewelry salesperson, earns a commission of $55 every time she sells a diamond ring. How many rings does she have to sel
    15·2 answers
  • Write and algebraic expression for 3 less than the quotient of 20 and x
    6·1 answer
  • A tree is growing on a hill. In an attempt to make the tree grow straight up, a 12-foot-long wire is attached to a tree at a poi
    5·2 answers
  • What is ljnnjnjljlnlnjnjsxnjxnklxsnklnjdcjbcbncbjksacbkj<br><br><br> 3/5 ÷ 2 1/2
    14·1 answer
  • Jordan uses three lemons to make 1 pitcher of lemonade. He makes 4 pitchers. How many lemons does he use altogether? *What visua
    10·1 answer
  • Simplify This Expression 12x + 6 + 15x
    12·1 answer
  • PLZ HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :)
    11·1 answer
  • (38.01-0.07)+(11.65-0.001)​
    12·2 answers
  • stella and zeke have 26$ left for a cab fare home. the cab far is 4$ per mile plus 2$ fixed charge, what is the maximum number o
    10·2 answers
  • What is the surface area of this rectangular prism?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!