Two students used different methods to evaluate 4 1/2 divided by 3/4

Find the volume of the composite figure to the nearest tenth. Use 3.14 for pi.

Vilka [71]

Given:

In the given fig,

The radius of the cylinder = 15 ft

The height of the cylinder = 26 ft

The height of the cone = 21 ft

The radius of the cone = 15 ft

To find the volume of the cone, the volume of the cylinder and the composite figure.

Formula

The volume of the given composite fig is

$V = V_{1} +V_{2}$

where, $V_{1}$ be the volume of the cone.

$V_{2}$ be the volume of the cylinder.

$V_{1} = \frac{1}{3} \pi r^{2} h$ , r be the radius and h be the height.

$V_{2} = \pi r^{2} h$ , r be the radius and h be the height.

Now,

Putting, r = 15, h = 21 and π = 3.14 we get,

$V_{1} = \frac{1}{3} (3.14)(15^{2} )(21)$ cube ft

$V_{1} = 4945.5$ cube ft

Again,

Putting,

$V_{2} = (3.14)(15^{2} )(26)$ cube ft

$V_{2} = 18369$ cube ft

Therefore, the volume of the composite fig = (4945.5+18369) cube ft = 23314.5 cube ft

Hence,

a) The volume of the cone is 4945.5 cube ft.

b) The volume of the cylinder is 18369 cube ft.

c) The volume of the composite figure is 23314.5 cube ft.

3 0

3 years ago

3 pounds of trill mix put into 8 bags equally what will each bag have

sweet-ann [11.9K]

There will be 0.375 pounds of trail mix in each bag

8 0

4 years ago

Read 2 more answers

Write the equation in standard form for the parabola with vertex (0,0) and directrix y=-6

Serggg [28]

This is a parabola which has vertex at the origin and opens upwards.

general form is x^2 = 4ay where a is the focus

the focus is the same distance from the vertex as the directrix So it is at the point (0, 6)

required equation is x^2 = 4*6 y

or y = (1/24) x^2

7 0

4 years ago

PLEASE HELP! only answer if you're gonna provide the work

alina1380 [7]

SQ = square root
329 = 20 * SQ (273+ t)
Do the inverse of everything on the left
Divide by 20
Square your answer (329/20)
and subtract 273 from it
((329/20)^2)-273 = t
the temperature according to my calculations was <span>-2.3975 degrees
The nearest degree, if my math is correct was -2 degrees.
I'm not sure how to graph the equation, or I can't graph it for you, rather. Try Desmos if you need to graph it.

Mark brainliest if I helped you</span>

8 0

3 years ago

Luis Castillo, a commission merchant in Dallas, buys merchandise exclusively for principals. A recent transaction is listed belo

Svetach [21]

Answer:

commission on the purchase = $559

gross cost = $9371

Step-by-step explanation:

Given data

Prime Cost = $8,600

Commission Rate = 6.5%

Local Delivery = 44

storage = 77

air freight = 91

to find out

Luis' commission on the purchase and the gross cost

solution

we find first commission on the purchase that is = commision @ 6.5%

commission on the purchase = 8600 × 0.065 = $559

commission on the purchase = $559

and

gross cost = Prime Cost + Commission + Local Delivery +storage +air freight

gross cost = 8600 + 559 + 44+ 77 + 91

gross cost = $9371

5 0

3 years ago