A sphere has a volume of 764m^3.Find it's total surface area(TSA) and lateral surface area(LSA) .

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SA=417,873.27 M2 ...(27 is reccuring)

LSA=573 M2

Step-by-step explanation:

VOL= 764^3

Vol(sphere) = 4/3¶r(3)

764^3=4/3*22/7*r^3

(the cubes on both sides cancel each other)

764=4/3*22/7*r

764=88/21r

r=182.318 M (18 is reccuring)

SA=4¶r^2

SA=4*22/7*(182.318)^2

SA=417,873.27 M2

LSA=¶r^2

LSA=22/7*(182.318)^2

LSA=573 M2

Step-by-step explanation:

Volume of a sphere:

LSA = TSA of a sphere:

We have V = 764 m³, find the radius:

Find the surface area:

step-by-step explanation:

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.