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3 years ago

The radius of this ball is 15 inches. Which equation gives the ball's surface area, in square inches?

Mathematics

1 answer:

victus00 [196]3 years ago

5 0

Answer:

$\large\boxed{S.A.=4500\pi\ in^2\approx14130\ in^2}$

Step-by-step explanation:

The formula of a surface area of a ball (sphere):

$S.A.=\dfrac{4}{3}\pi R^3$

R - radius

We have R = 15in. Substitute:

$S.A.=\dfrac{4}{3}\pi(15^3)=\dfrac{4}{3}\pi(3375)=4500\pi\ in^2$

If you want to get an approximation, then:

$\pi\approx3.14\\\\S.A.\approx(4500)(3.14)=14130\ in^2$

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3 years ago

K^2+k=0 what does k=

FinnZ [79.3K]

Answer:

k = K^2

Step-by-step explanation:

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3 years ago

48 girls, 41 boys, and 5 teachers sat in the gym. Write the ratio of girls to boys in three ways.

Anika [276]

Answer:

Step-by-step explanation:

The answer is D because the question is asking for girls to boys. So anything that has 5 in it is wrong because it isn't asking for teachers, which eliminates A. So since it is asking girls to boys the number order has to be 48 then 41 because it is asking for girls first then to boys. So that makes B wrong. When it comes to the fraction part of the ratio the first number it is asking for (which is girls) always goes on top. So that eliminates C which leaves only answer to be D.

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3 years ago

Find the value of 8/15×2/13 Although these numbers aren't quite as nice as the ones from the example, the procedure is the same,

xz_007 [3.2K]

Answer:

$\frac{16}{195}$

Step-by-step explanation:

To obtain the result of a fractions multiplication we need to multiply both numerators and the divide by the multiplication of the denomitators. In general, given a,b,c,d real numbers with b and d not zero, we have that

$\frac{a}{b}*\frac{c}{d}=\frac{a*c}{b*d}$

Substituting a,b,c and d for 8,15,2 and 13 we obtain that

$\frac{8}{15}* \frac{2}{13} =\frac{16}{195}$

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3 years ago

Use the simple interest formula to find the ending balance 5000 at 5% for 3.5 years

Evgesh-ka [11]

Answer:

Given: Principal(P) = $ 5000 , T = 3.5 years and R = 5%.

Using the formula of Simple Interest (I) given by;

$I = \frac{P\times R \times T}{100}$ .......[1] , where P is the Principal amount of money to be invested, R be the rate of interest and T be the time.

Substitute the given values of P , R and T in [1] we have;

$I = \frac{P \times R \times T}{100} = \frac{5000\times 5 \times 3.5}{100}$

$I = 50 \times 5 \times 3.5 = 250 \times 3.5$

Simplify:

$I = \$ 175$

An Ending balance is calculated by subtracting cash outflows, interest paid for financing and principal paid on financing.

Ending Balance = $ 5000 + $ 175 = $ 5,175.

Therefore, the ending balance is $ 5,175

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3 years ago