jmjackson911 jmjackson911
  • 23-05-2020
  • Mathematics
contestada

A sphere has a volume of 36π m3. Find the surface area of the sphere.

The options are :
28π m2
36π m2
42π m2
48π m2

Respuesta :

anas4645
anas4645 anas4645
  • 23-05-2020

Answer:

v=4/3πr^3

36π=4/3πr^3

3/4(36π)=(4/3πr^3)3/4

27π=πr^3

π(27π)=r^3

27=r^3

square root

r=3

s.a=4πr^2

s.a=4π(3^2)

s.a=4π(9)

s.a=36π

Step-by-step explanation:

Answer Link
mrohugcc
mrohugcc mrohugcc
  • 23-05-2020
The volume of a sphere is (4*pi*^3)/3

(4pir^3)/4 = 36pi
4pir^3 = 108pi
pir^3 = 27pi
r^3 = 27
r = 3

The surface area of a sphere is 4pir^2
Substitute r = 3 into 4pir^2

4pi * 9 = 36pi
Answer Link

Otras preguntas

calculate the area of the circle. round your answer to the nearest hundredth.
To understand a particular market, do we have to study other markets?
what is the fourth angle of 82 , 78 , 90 degrees
One possible reason why Iranian radicals took American hostages at the U.S. Embassy in 1979 was: the United States was allied with Iraq, the enemy of Iran Ameri
an 8 pound of apples costs 17.50. what is the unit price
write a division equation that has a solution of 42
who were the people who wanted to abolish slavery
A spinner has five congruent sections numbered 1, 2, 3, 4, 5. Rahm made 50 spins of this spinner and recorded the outcomes in this table. Outcome Number 1
what is the participle in this sentence? Sandy was stunned to find she had won the contest. A. Sandy B. stunned C. won or D. contest pleas explain.
31/50 in two equivalent forms