To the nearest tenth of a cubic inch, how much volume is added to a spherical ballon whose radius grows from 10 to 20 inches long?
a) 8245.7 in^3
b) 17367.6 in^3
c) 29321.5 in^3
d) 41225.4 in^3

C) 29321.5 in^3

Step-by-step explanation:

We find the volumes of the two spheres and then we find the difference.

radius = 10 inches

V = (4/3)(pi)r^3

V = (4/3)(3.14159)(10 in)^3

V = 4188.8 in^3

radius = 20 inches

V = (4/3)(pi)r^3

V = (4/3)(3.14159)(20 in)^3

V = 33510.3 in^3

The difference in volumes is:

33510.3 in^3 - 4188.8 in^3 = 29321.5 in^3

x = 25

step-by-step explanation:

a^2+b^2=c^2

7^2+24^2=c^2

49+576=625

sqrt625=25

x=25

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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