Question

A cone has a diameter 8 iin. and height 14in. A rectangular prism is 6 in. by 4in. by 10 in. A square pyramid has base edge 8in and height 12 in. What are the volumes of the three figures in order from least to greatest.
A. cone, prism,pyramid
B. prism, cone, pyramind
C. pyramid, cone, prism
D. prism, pyramid, cone



3. what is the diameter of a sphere whose surphace area is 100 pi m ^2 ?
A.5m
B.10m
C.5 pi m
D.25 pi m

Answer 1

Do you know the formulas for the volume of a cone, of a prism, and of a pyramid?

Answer 2

no .

Answer 3

Mkay, then lets solve each one individually.
Here's the reference sheet for future reference. http://fcat.fldoe.org/eoc/pdf/algebra1.pdf

Answer 4

So lets do the cone.
V = 1/3Bh
Capital B = area of the base.

Answer 5

okay .thanks

Answer 6

ok

Answer 7

formulas are:
Cone- V=1/3(pi)*r^2*h
Rec. Prism- V=l*w*h
Sq. Pyramid- V=1/3*b^2*h

Answer 8

So find B first. Area of a circle is the radius^2 times pi.

B = 4^2 * 3.14
B = 16 * 3.14
B = 50.24

And our height is 14.

V = 1/3Bh
V = 1/3(50.24)(14)

Answer 9

waiitt... Jazy's got it!(:

Answer 10

Or \[V = \frac{ 50.24 \times 14}{ 3 }\]Can you do that with a calculator?

Answer 11

yeah . 234.4

Answer 12

Alright. So the Volume for the cone is 234.4.

Now the rectangular prism.
6 in
4 in
10 in

V = bwh
V = (6)(4)(10)
V = ?

Answer 13

240

Answer 14

Perfect. Now the Square pyramid:
base = 8
height = 12

V = 1/3Bh
V = 1/3B(12)

Find B:
Its a square so to find the area multiply 8*8 = 64.

V = 1/3(64)(12)
\[V = \frac{ 64 \times 12 }{ 3 }\]\[\large V =~ ?\]

Answer 15

256

Answer 16

cone, prism, pyramid

Answer 17

d(^.^)b

Answer 18

what ?

Answer 19

Its a thumbs up. lol

Answer 20

oh okay lol . Next question please .

Answer 21

number 3?

Answer 22

yes .

Answer 23

surface area of sphere=\(4 \pi r^2\)

r=d/2

Answer 24

you are given the syrface area, Solve for d .

Answer 25

Surface area of sphere = \(4\pi r^2\)
\[A=4 \pi r^2 \\ \\ 100\pi=4\pi r^2 \\ \\ r^2=\frac{100}{4} \\ \\ r=\frac{10}{2} \\ \\ r=5 \\ \\ \]
Diameter is twice of radius

Answer 26

thank you