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gregori [183]
2 years ago
13

Baseballs and softballs com in different sizes for different leagues. If the diameter of a baseball is 3 inches and a softball i

s 3.8 inches, find the difference between the volumes of the two balls. Use 3.14 for pie

Mathematics
2 answers:
Vanyuwa [196]2 years ago
7 0

Answer:

Step-by-step explanation:

Alright, lets get started.

Diameter of baseball is given as 3 inches.

Hence the radius of baseball will be : \frac{3}{2}=1.5

Hence the volume of baseball is : \frac{4}{3}\pir^3

Hence the volume of baseball is : \frac{4}{3}\pi1.5^3

Hence the volume of baseball is : 14.13 inches cube

Now, diameter of softball is given as 3.8 inches.

Hence the radius of softball will be : \frac{3.8}{2}=1.9

Hence the volume of baseball is : \frac{4}{3}\pir^3

Hence the volume of baseball is : \frac{4}{3}\pi1.9^3

Hence the volume of baseball is : 28.72 inches cube

Hence the difference of volumes will be: 28.72-14.13

Hence the difference of volumes will be 14.59 or 14.6 inches cube

So the answer is 14.6 inches cube.    :    Answer

Hope it will help :)

tensa zangetsu [6.8K]2 years ago
7 0

Answer:

14.6 in^3 is correct.

Step-by-step explanation:

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Make common denominator

204/468 + 429/468 = 633/468 - (195/468 + 48/468)

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Given the sequence, 26, 13, 6.5, ..... find a) the 10th term and b) the sum of the first 18 terms
Hunter-Best [27]

Answer:

a) 10th term is 0.051

b) The sum of first 18 terms of given sequence is 51.48

Step-by-step explanation:

We are given the sequence 26, 13, 6.5, ..... we need to find

a) 10th term

b) Sum of first 18 terms

Before solving we need to determine if the sequence is arithmetic or geometric

The sequence is arithmetic if common difference d is same.

The sequence is geometric if common ratio r is same.

Finding common difference d: 13-26 = -13, 6.5-13= -6.5

As common difference is not same so, the sequence is not arithmetic.

Finding common ratio r : 13/26 =0.5, 6.5/13= 0.5

As common ratio is same so, the sequence is geometric.

a) Finding common difference: 13-26 = -13, 6.5-13= -6.5

As common difference is not same so, the sequence is not arithmetic.

a) 10th term

The formula to find 10th term is: a_n=a_1r^{n-1}

We have a₁=26 and r = 0.5 n=10

a_n=a_1r^{n-1}\\a_{10}=26(0.5)^{10-1}\\a_{10}=26(0.5)^{9}\\a_{10}=0.051

So, 10th term is 0.051

b) Sum of first 18 terms

The formula to find sum of geometric series is: S_n=\frac{a(1-r^n)}{1-r}

where a= 1st term, r = common ratio and n= number of terms

In the given sequence we have

a=26, r=0.5 and n=18

Finding sum of first 18 terms

S_n=\frac{a(1-r^n)}{1-r}\\S_{18}=\frac{26(1-(0.5)^{18}}{1-0.5}\\S_{18}=\frac{26(0.99)}{0.5}\\S_{18}=\frac{25.74}{0.5}\\S_{18}=51.48

So, sum of first 18 terms of given sequence is 51.48

6 0
3 years ago
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