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Mathematics

1 answer:

tatuchka [14]3 years ago

6 0

Answer:

105/4

Step-by-step explanation:

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In a water treatment plant, water passes through a cone-shaped filter with a height of 4 m and a diameter of 9 m. The water flow

Maslowich

<span>so volume of a cone=1/3 times (area of base) times height

area of base=circle so
1/3 times pi times radius^2 times height

height=4
diameter=2radius
diameter/2=radius
9/2=4.5=radius

height=4
radius=4.5
aprox pi at 3.14
1/3 times (3.14 times 4.5^2) times 4=84.78
that's the volume of the cone

volume of cone=1/5 of cylinder

84.78=1/5cylinder
multiply both sdies by 5
423.9=volume of cylinder

volume of cylinder=height times area of base
area of base=3.14 times r^2
v=h3.14r^2
423.9=3.14hr^2
divide both sdies by 3.14
135=hr^2
since we are not given the specific ratio of height to radius or such to the cone to the cylinder, we must use trial and error to elimninate wrong choices

135=hr^2
let's try A

A
135=3(3^3)
135=3(9)
135=27
false
A is wrong

B
4.23=h 5=r
135=4.23 times 5^2
135=4.23 times 25
135=105.75
false
B is wrong

C
h=15 r=6
135=15 times 6^2
135=15 times 36
135=540
false
C is wrong

D
33.75=h 2=r
135=33.75 times 2^2
135=33.75 times 4
135=135

the answer is D since it fitst the dimentions</span>

5 0

3 years ago

Read 2 more answers

Use the identity (x+y)(x2−xy+y2)=x3+y3 to find the sum of two numbers if the product of the numbers is 10, the sum of the square

professor190 [17]

Answer:

The sum of two numbers is 7.

Step-by-step explanation:

Given : the product of the numbers is 10, the sum of the squares of the numbers is 29, and the sum of the cubes of the numbers is 133.

Using identity $(x+y)(x^2-xy+y^2)=x^3+y^3$ and given details, we have to find the sum of two numbers.