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
Mnenie [13.5K]
3 years ago
7

Fill in the blank. tripling the radius of a sphere increases the surface area by a factor of ___________.

Mathematics
1 answer:
Mandarinka [93]3 years ago
7 0
To solve this completion exercise, you must keep on mind the following information:

 - The formula for calculate the area of a sphere, is the following:

 Vsphere=4πr³/3

 Where Vsphere is the volume of the sphere and "r" is the radius of the sphere.

 - Therefore, if you multiply the radius by 3, or triple the radius, the surface area increase by a factor of 9 (3^2=9).

 The answer is: T<span>ripling the radius of a sphere increases the surface area by a factor of 9.</span>
You might be interested in
Solve the equation cos (x/2) = cos x + 1. what are the solutions on the interval 0° ≤ x &lt; 360°?
Sedbober [7]

Answer:

Step-by-step explanation:

cos (x/2)=cos x+1

cos (x/2)=2cos ²(x/2)

2 cos²(x/2)-cos (x/2)=0

cos (x/2)[2 cos (x/2)-1]=0

cos (x/2)=0=cos π/2,cos (3π/2)=cos (2nπ+π/2),cos(2nπ+3π/2)

x/2=2nπ+π/2,2nπ+3π/2

x=4nπ+π,4nπ+3π

n=0,1,2,...

x=π,3π

or x=180°,540°,...

180°∈[0,360]

so x=180°

or

2cos(x/2)-1=0

cos (x/2)=1/2=cos60,cos (360-60)=cos 60,cos 300=cos (360n+60),cos (360n+300)

x/2=360n+60,360n+300

x=720n+120,720n+300

n=0,1,2,...

x=120,300,840,1020,...

only 120° and 300° ∈[0,360°]

Hence x=120°,180°,300°

7 0
2 years ago
HELLO!! :) CAN U PLEASE HELP ME WITH THIS PROBLEM? I WILL GIVE YOU BRAINLIEST AND A THANKS!! PLEASE EXPLAIN TOO!!
miskamm [114]

Answer:

21square feet

Step-by-step explanation:

Count the whole squares first.

if each square is one square foot then 18 whole squares will be 18×1= 18 square feet

add halves (aproximate halves) together. (3 in total)

Therefore A= 18 +3

= 21 square feet

3 0
2 years ago
Read 2 more answers
Someone help me with culinary math?
iragen [17]

Answer:

Step-by-step explanation:

sugar: half - 1/6 cup , double - 2/3 cup

mirin: half - 1/8 cup , double - 1/2 cup

shoyu: half - 6 Tbsp , double 1 1/2 cup

flour: half - 5/8 pound , double 2 1/2 pounds

chicken: half - 1 1/4 pounds , double: 5 pounds

6 0
3 years ago
What is the square root 55 explanation plzz​
vesna_86 [32]

The principal, real, root of:

\sqrt[2]{55} =7.41619849

7 0
3 years ago
The weight of an object on a particular scale 155. 2lbs the measured weight May very from the actual weight by the most 0.4 lbs
zavuch27 [327]

Answer:

154.8-155.6

Step-by-step explanation:

155.2-.4=154.8 or maybe its more in that case the most it could be is 155.2+.4=155.6

7 0
3 years ago
Other questions:
  • What is the exact volume of the cone? (height is 9 cm, the radius is 15 cm)
    10·2 answers
  • A runner ran 25 miles last week and 15 miles this week. What is the percent of change
    5·2 answers
  • What is the surface area of the cylinder?
    5·2 answers
  • How do you multiply polynomials
    13·1 answer
  • **Write them into an inequality!**
    11·1 answer
  • The formula for the area of a trapezold with altitude k and bases m and n is A=k/2(m+n)
    14·1 answer
  • Tony’s investments lost $12,545.50 in value over the past 2.5 months. On average, how much did his investments change each month
    9·1 answer
  • Lthe farmer hgjhbjurd​
    13·1 answer
  • 32) Out of 525 people surveyed, 210 answered yes. Estimate how many people would answer yes if 900
    13·1 answer
  • I need help 20 points!
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!