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3 years ago

I need help on this assignment

Mathematics

1 answer:

Diano4ka-milaya [45]3 years ago

5 0

Answer:

1.___ b

2.___c

3.___a

4.___d

Step-by-step explanation:

5% of x is =8

5/100 * X= 8

x=8*100/5=800/5=160

12% of x =5

x=41.666 approximately

8% of x=12

x=12*100/8=1200/8=150

5% of x= 12

x=12*100/5=1200/5=240

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The ratio of the diameters is 15:11. If the diameter of the smaller ball is 55cm, what is the volume of the larger ball? Round t

gizmo_the_mogwai [7]

Answer:

220,781.25 cubic cm

Step-by-step explanation:

Given ratio of the diameters = 15:11

Let the actual value of of diameters be 15x and 11x to maintain the ratio of 15:11

Given that smaller one has diameter of 55cm

thus 11x = 55cm

x = 55/11 cm = 5

Thus, diameter of larger ball = 15xcm= 15*5cm =75cm.

we know that radius is half of diameter

Radius = diameter/2

Thus radius of larger ball = 75/2 cm = 37.5 cm.

Volume of sphere is given by $(4/3)\pi r^3$

we know that ball has spherical shape

thus volume of larger ball is calculated as given below

$volume \ of \ ball = (4/3)\pi r^3\\=> volume \ of \ ball = (4/3)*3.14* 37.5^3\\=> volume \ of \ ball = (4/3)*3.14* 37.5^3\\=> volume \ of \ ball = 220,781.25$