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
olga55 [171]
3 years ago
15

The area of a cross section through the center of a sphere is 46 square inches. Find the surface area of the sphere.

Mathematics
1 answer:
gavmur [86]3 years ago
7 0

Answer:

184 in.^2

Step-by-step explanation:

The cross section through the center of a sphere is a circle whose radius is equal to the radius of the sphere.

area of circle

A_{circle} = \pi r^2

\pi r^2 = 46

r^2 = \dfrac{46}{\pi}

r = \sqrt{\dfrac{46}{\pi}}

r = 3.83 ~in.

surface area of sphere

SA = 4 \pi r^2

SA = 4 \times \pi \times (3.83)^2

SA = 184~in.^2

You might be interested in
¿Cuál es la ecuación de la recta que pasa por el punto? (-1,-5) y tiene una<br> pendiente de - 1?
Zielflug [23.3K]

Answer:

y=-1x-6

Step-by-step explanation:

y-y1=m(x-x1)

y-(-5)=-1(x-(-1)

y+5=-1(x+1)

y+5=-1x-1

y=-1x-5-1

y=-1x-6

6 0
3 years ago
The height of a tree trunk is 20 meters and the base diameter is 0.5 meter. a. The wood has a density of 380 kilograms per cubic
blsea [12.9K]
Originally,
h = 20 m, the height of the tree trunk
d = 0.5 m, the diameter of the trunk

Because the density is 380 kg/m³, the mass of the trunk is
m= \frac{ \pi }{4} (0.5 \, m)^{2}(20 \, m)(380 \, \frac{kg}{m^{3}} ) = 1492.3 \, kg

Answer: 1492.3 kg

After one year:
After the tree puts on a growth ring, the new diameter is
  d = 0.5 + 2(4 x 10⁻³ m) = 0.508 m
The tree grows by 0.2 m, s the new height is
  h = 20 + 0.2 = 20.2 m

The increase in volume is
\Delta V=  \frac{ \pi }{4} (0.508 \, m)^{2}(20.2 \, m) -  \frac{ \pi }{4} (0.5 \, m)^{2}(20 \, m)  = 0.1672\, m^{3}

Answer: The volume produced  is 0.17 m³ (nearest hundredth) 
8 0
3 years ago
Which ratio is equivalent to 12: 54 ?<br><br> a. 3/13<br> b. 6/24<br> c.24/104<br> d.36/162
Brut [27]
It would be D.) 36/162

When you multiply 12 by 3, you get 36. You multiply the same number, 3, by 54 to get 162.

This means that the ratio is equivalent.
6 0
3 years ago
Give one example of "over 10,000 in credit card debt." Then, write a rational number that represents your example
Elden [556K]
Oh yeah I know it’s ok I didn’t know
5 0
2 years ago
Bill and Amy want to ride their bikes from their neighbourhood to school which is 14.4 kilometers away. It takes Amy 40 minutes
olga55 [171]
You can use the equation d=rt
Amy 14.4=40r    r=0.36 kilometers/minute
Bill 14.4=20r    r= 0.72 kilometers/minute   
Amy (0.36 kilometers/minute)(60 seconds/1000 meters)= 0.0216 meters/second
Bill (0.72 kilometers/minute)(60 seconds/1000 meters)=0.0432 meters/second

0.0432-0.0216=0.0216 meters/second faster than Amy
3 0
3 years ago
Other questions:
  • Which expression shows (3-4i)+(-7-8i) in simplest form?
    7·1 answer
  • 1.Rodney Ranger is a shoe salesman for More Co. He is paid $4.60 per hour plus a commission of 3% on all sales. For the week, as
    10·1 answer
  • What percent of 125 is 5
    7·2 answers
  • What are all the factors of 360?
    11·1 answer
  • Traveling at 65 mph how many feet can you travel in 22 minutes?
    8·2 answers
  • Which is the graph of y ≤ 1 – 3x?
    7·1 answer
  • #6) BRAINLIEST + 10 + POINTS! :D
    11·1 answer
  • A pyramid has a square base of length 8cm and a total surface area of 144cm². Find the volume of the pyramid. (Please use Pythag
    8·1 answer
  • In a bag, there are three red marbles, four blue marbles, two yellow marbles and three black marbles. What is the probability of
    14·1 answer
  • What's the answer to 7x-x
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!