# 30 points plsss part 1: design three ice creams cones with different dimensions for radius and height. the three cones can

###### Question:

## Answers

Part 1) Design three ice creams cones with different dimensions for radius and height. The three cones can be classified as scaled similar figures.

the table in the attached figure

Part 2) Determine the effect that scaling has on the volume of the cones. Calculate the volume for each of the cones

we know that

volume of a cone=(1/3)*pi*r²*h

where

r is the radius

h is the height

a) Find Volume of Cone 1:

r=4 cm

h=6 cm

volume of a cone 1=(1/3)*pi*4²*6-----> 32*pi cm³----> 100.53 cm³

b) Find Volume of Cone 2:

r=6 cm

h=9 cm

volume of a cone 2=(1/3)*pi*6²*9-----> 108*pi cm³----> 339.29 cm³

c) Find Volume of Cone 3:

r=8 cm

h=12 cm

volume of a cone 1=(1/3)*pi*8²*12-----> 256*pi cm³----> 804.25 cm³

compare cone 1 and cone 2

scale factor=measure radius cone 2/measure radius cone 1

scale factor=6/4----> 1.5

volume cone 2/volume cone 1=(108*pi)/(32*pi)----> 3.375

3.375=1.5³

so

3.375=scale factor³

therefore

volume of cone 2=[scale factor]³*volume of cone 1

compare cone 1 and cone 3

scale factor=measure radius cone 3/measure radius cone 1

scale factor=8/4----> 2

volume cone 3/volume cone 1=(256*pi)/(32*pi)---->8

8=2³

so

8=scale factor³

therefore

volume of cone 3=[scale factor]³*volume of cone 1

the answer part d)

the scaling increase the volume by an amount equal to the scale factor raised to the cube

Part 3) Suppose one ounce of ice cream costs that consumer $0.50. How does scaling relate to the cost of the cone?

find the cost of the cone 1

volume cone 1=100.53 cm³

convert to ounces

1 cm³ is equal to 0.033814 ounces

100.53 cm³*0.033814=3.40 ounces

3.40 ounces*$0.50----> $1.70

find the cost of the cone 2

volume cone 1=339.29 cm³

convert to ounces

1 cm³ is equal to 0.033814 ounces

339.29 cm³*0.033814=11.47 ounces

11.47 ounces*$0.50----> $5.74

find the cost of the cone 3

volume cone 1=804.25 cm³

convert to ounces

1 cm³ is equal to 0.033814 ounces

804.25 cm³*0.033814=27.19 ounces

27.19 ounces*$0.50----> $13.60

cost cone 2/cost cone 1=5.74/1.70----> 3.37

this is the scale factor raised to the cube

cost cone 3/cost cone 1=13.60/1.70----> 8

this is the scale factor raised to the cube

therefore

the answer is

the cost of the cone will increase by an amount equal to the scale factor raised to the cube

[tex]30 points plsss part 1: design three ice creams cones with different dimensions for radius and hei[/tex]

27π in³ ≈ 84.8 in³

Step-by-step explanation:

The formula for the volume of a cone is ...

V = (1/3)πr²·h

where r represents the radius of the base of the cone, and h represents its height perpendicular to the base.

The diagram shows r = 3 in, and h = 9 in. Putting these numbers into the formula, we get ...

V = (1/3)π·(3 in)²·(9 in) = 27π in³

The volume is 27π in³, about 84.8 cubic inches.

B. Color perception is achieved by activation of various combinations between the tree cone types.

Explanation:

Human eye have only three photo receptor ( three wavelength) but they can see several thousands of shades of color because color perception is gained by combination of these three wave length cone types ( RED, BLUE AND GREEN) into various combinations. Our retina have two types of cell:- cone cells and cylindrical cells. Cone cells are responsible for the identification of color.

Explanation:

A) False.

Glucosidase (not calnexin nor calreticulin) helps to remove glucose residue.

Both calnexin and calreticulin rather have an affinity for last glucose residue of misfolded protein (Only misfolded proteins are marked by glycosyltransferase by attaching glucose residue). They attach with misfolded protein and with the help of other proteins like ERp57 (a type of protein disulfide isomerase) and try to fold it properly. If protein is properly folded then glucosidase removes the glucose residue thereby releasing the properly folded protein from calnexin or calreticulin. and now protein is transported to the Golgi body. If folding is still not proper then the same cycle of glycosylation -binding of calnexin/calreticulin and effort to fold it properly is repeated.

B) True.

Transketolase is a key enzyme of the pentose phosphate pathway. It contains thiamine diphosphate (TPP) as a cofactor. it does transfer 2 carbon residue from a ketose to aldose. So, effectively it converts one ketose sugar to aldose with 2 carbonless and aldose to ketose with 2 carbon more.

C) True.

Theoretically, for the evolution of one molecule of oxygen, only 8 photons are required. But in practice, it is known that there are many variants like wavelength and the energy of the photon. The larger the wavelength, like the one which is used in PS1 (more than 700nM), the lesser the energy. Secondly, the energy of the photon is also wasted as heat energy. Because of these factors, more than 8 photons are needed in reality.

D) Wrong.

Fructose 2,6 bisphosphate is a key substrate and affects both the enzymes- phosphofructokinase and fructose bisphosphatase allosterically during gluconeogenesis. It strongly favors the breakdown of glucose during glycolysis by activating phosphofructokinase but it inhibits fructose bisphosphatase. Hence it activates the kinase enzyme while inhibiting the phosphatase and maintains a huge supply of glucose in the system.

E) Wrong.

The Calvin cycle shares similarity with the pentose phosphate pathway as both are involved in the synthesis of sugar (Triose and Ribose). However, it does not share similarity with enzymes of glycolysis (which is primarily focused on the breakdown of glucose) and gluconeogenesis.

True. . . . . . . . . . .

By definition, the volume of the cone is given by:

V = (1/3) (π) (r ^ 2) (h)

Substituting values we have:

V = (1/3) (π) ((4/2) ^ 2) (5)

V = (20/3) (π)

Then, the volume of the cylinder is:

Vc = 3 * V

Vc = 3 * (20/3) (π)

Vc = 20π

the volume of the original cylinder jesse bought is:

Vc = 20π

I think is c but i am not sure

The Answer is A distributor

The cones are $1.10 each & the sundaes are $2.35

This is true

People who have color vision deficiency typically lack one or more of the three cones that are sensitive to a particular wavelength.