Dosha is creating a new dessert that has two layers shaped like cones. The inner cone is frozen ice cream and has a diameter of 10 cm and a height of 6 cm. The outer layer is a thin wafer shell, like an upside-down ice cream cone, with a height of 14 cm and the same diameter as the inner layer. Dosha will inject a cream filling into the space.What is the volume of the cream filling? Round your answer to one decimal place and use 3.14 to approximate pi.

Answers

Answer 1

Answer: first find volume of inner cone and outer cone then subtract inner from outer

so inner=1/3 (base area) times height
1/3 times (pi times 10^2) times 6
1/3 times 3.14 times 100 times 6
1/3 times 314 times 6
314 times 6/3=628=volume of inner cone

outer cone
base area=314
1/3 times 314 times 14=1456.33

so subtract 628 from 1456.33

1456.33-628=837.3 cm^3

Answer 2

Answer:

Answer: 1456.33-628=837.3 cm^3

Step-by-step explanation:

hope this helps

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Given f(x) = x² - 10x + 22, what is the domain of f?

Answers

Answer:

The domain for given function is $\:\left(-\infty \:,\:\infty \:\right)$

Step-by-step explanation:

Given : $f\left(x\right)\:=x^2-10x+22$

We have to find the domain of the given function.

Domain of a function is defined as a set of value for which the value of function is real and defined.

Consider the given function $f\left(x\right)\:=x^2-10x+22$

Since there is no points for x where the function f(x) is non defined.

Hence, whole number line is the domain for the given function.

$\text{Domain} :-\infty \:<x<\infty$

In interval form it is written as $\:\left(-\infty \:,\:\infty \:\right)$

Thus, the domain for given function is $\:\left(-\infty \:,\:\infty \:\right)$

Answer:

The domain of f in interval notation is (-∞,∞)

Step-by-step explanation:

The domain of a function refers to the set of x-values for which the function is defined and is real as well. Given that this is a quadratic function and not a rational function, then the function lacks points of discontinuity. The function is continuous everywhere. In short, the function has no undefined points nor domain constraints

The product of 5 and the difference of 7 times the square of x and 3

Answers

Answer:

5 x (7x²-3)

5 (7x²-3)

Step-by-step explanation:

Product means the result of multiplication.

Difference means the result of subtraction

Times indicates multiplication

square of means raised to the power of 2

The product of 5 and the differenceof 7 times the square of x and 3

5 x (7x²- 3)

When you see "and" in between, this indicates the variables that are involved in the operation mentioned. Since it says the product of 5 and the difference of... This mean that 5 is multiplied to the quantity of the other operation used, which is the difference of 7 times the square of x and 3.

in a typical symphony orchestra 16 out of every 100 musicians are violinists what fractions of the orchestra are violinists ?

Answers

Answer: Our required fraction is $(4)/(25)$

Step-by-step explanation:

Since we have given that

Total number of musicians = 100

Number of violinists = 16

We need to find the fractions of the orchestra are violinists :

Fraction will be

$=\frac{\text{number of violinists}}{\text{ Total number of musicians}}=(16)/(100)=(4)/(25)$

Hence, our required fraction is $(4)/(25)$

4 out of every 25 musicians are violinists.

The perimeter of a rectangular playing field is 244 feet. If its length is 2 feet longer than twice its width, what are the dimensions of the field?

Answers

Peri = 2A+2B

244 = 2(2+2x) + 2(x)

The perimeter (P) of a polygon is all the values of all the sides added together. (Length+Length+Width+Width) If the length (L) of the rectangle is 2 feet longer than twice the width (W), then L=2W+2. So now the perimeter is 2W+2+2W+2+W+W = P. This simplifies to 6W+4=P. If we know the perimeter is 244, then 6W+4=244. Then subtract four and divide by 6. W=40. If L=2W+2, then L=2(40)+2, or L=82. SO.....
The width is 40 feet
The length is 82 feet

|express 0.45 as a Fraction| what is the answer?