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3 years ago

Find the volume of the shape

Mathematics

2 answers:

padilas [110]3 years ago

7 0

Answer:

452.16 units³

Step-by-step explanation:

Volume = $\pi$ r²h

Volume = 3.14 × 6 × 6 × 4

Volume = 452.16 units³

alisha [4.7K]3 years ago

4 0

Answer:

around 452.39

Step-by-step explanation:

1) the equation for it is

$\pi {r}^{2} h$

(pi × r^2 × h

2) you use this formula by plugging in the equation

r=6

h=4

3) after that you just plug it into a calculator ^_^

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4 martians, 3 plutonians and 5 jupiterians are to be seated in a row at an interplanetary conference. How many seating arrangeme

Rudik [331]

we are given

martians =4

plutonians =3

jupiterians=5

so, total number of seats =4+3+5=12

number of seating arrangement for martians is 4!

number of seating arrangement for plutonians is 3!

number of seating arrangement for jupiterians is 5!

total number of seating arrangement is 12!

so, we get

possible seating arrangements are

$=\frac{12!}{4!3!5!}$

$=27720$ .............Answer

8 0

3 years ago

Based on a study of population projections for 2000 to 2050, the projected population of a group of people (in millions) can b

Olegator [25]

Answer:

(a) 0.107 million per year

(b) 0.114 million per year

Step-by-step explanation:

$A(t) = 11.19(1.009)^t$

(a) The average rate of change between 2000 and 2014 is determined by dividing the difference in the populations in the two years by the number of years. In the year 2000, $t=0$ and in 2014, $t=14$ . Mathematically,

$\text{Rate}=\dfrac{A(2014) - A(2000)}{2014-2000}=\dfrac{11.19(1.009)^14-11.19(1.009)^0} {14}$

$A(0)=\dfrac{12.69-11.19}{14}=\dfrac{1.5}{14}=0.107$

(b) The instantaneous rate of change is determined by finding the differential derivative at that year.

The result of differentiating functions of the firm $y=a^x$ (where $a$ is a constant) is $\dfrac{dy}{dx}=a^x\ln a$ . Let's use in this in finding the derivative of $A(t)$ .