Yahoo Answers: Answers and Comments for Would you please explain what I am doing wrong on these questions; and how to solve them correctly.? [Mathematics]
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From Anonymous
enUS
Sun, 20 Apr 2014 13:46:38 +0000
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Yahoo Answers: Answers and Comments for Would you please explain what I am doing wrong on these questions; and how to solve them correctly.? [Mathematics]
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From ?: 9 x 50 is not 500 its 450
so 45 feet
Second...
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https://answers.yahoo.com/question/index?qid=20140420134638AAWydO6
Sun, 20 Apr 2014 20:56:09 +0000
9 x 50 is not 500 its 450
so 45 feet
Second one :Your Answer: The surface area for the top and bottom of the seat is: 2 x 3.14 x 14 x 14.
14 x 14 is diameter squared, it should be radius squared so 7 x 7
third is 7.96

From Ash: 1) You started correctly. But look at the erro...
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Sun, 20 Apr 2014 20:52:23 +0000
1) You started correctly. But look at the error below..... 50 x 9 = 450 and not 500. Once you correct that the width will be 45 feet

"10x = 50 x 9
10x = 500"

2) Evan will have paint the the top of the seat, bottom of the seat and the periphery of the seat. Additional the 4 legs.
However, have you considered that one of the leg face attached to the seat will not have to be painted. And that same area has to be deducted from the bottom of the seat.
Area of top face of the 4 legs = 4x (4 x 4) = 32 in²
Total area of the seat = 483.56 in²
Total area of the seat to be painted = 483.56  32 = 451.56 in²
Similary
Area of all faces of 4 legs = 1,280 in ²
Area of all faces of the legs to be painted = 1280  32 = 1248 in ²
Grand total area to be painted = 451.56 + 1248 = 1699.56 in²
3) Volume of cone (V)= (1/3) π r² h
h = 3V/π r² = (3 * 300) / (3.14 * 6²) = 7.96 km

From Spaceman: 1. Gino designed a garden for his rectangular ...
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Mon, 21 Apr 2014 00:01:58 +0000
1. Gino designed a garden for his rectangular backyard. The design he drew on paper is ten inches
long. The length of his backyard is fifty feet. If his drawing is to scale and is 9 inches wide, how
many feet wide is his backyard? Write a proportion using words. Then, use the proportion to
calculate the yard width. Show your work.
The proportion of the length on paper divided by the actual length (with a unit conversion)
is identical to the proportion of the width on paper divided by the actual width (again with a unit
conversion).
50 ft = 50 ft x 12 in/ft = 600 in
10/600 = 9/p
10p = 9 x 600
10p = 5,400
p = 5,400/10
p = 540 in = 540 in / 12 in/ft = 45 ft Width of Gino's back yard
2. Evan is painting a stool that has a cylindrical seat and four rectangular prism legs. The seat has
a diameter of fourteen inches and a height of 4 inches. Each leg is 4 inches by 4 inches by eighteen
inches. How much area will Evan have to paint? Use three point one four for pi. Show your work.
Surface Area of Cylindrical Seat
Top Area
A = πD²/4 = (3.14)(14 in)²/4 = 153.86 in²
Bottom Area
A = πD²/4 = (3.14)(14 in)²/4 = 153.86 in²
Circumference Area
C = πD = (3.14)(14 in) = 43.96 in
h = 4 in
A = Ch = (43.96 in)(4 in) = 175.84 in²
A(tot) = 153.86 in² + 153.86 in² + 175.84 in² = 483.56 in²
Surface Area of Legs
Top Area
A = s² = (4 in)² = 16 in²
Bottom Area
A = s² = (4 in)² = 16 in²
Side of Leg
A = 4 in x 18 in = 72 in²
4 Sides
A = 4(72 in) = 288 in²
Leg (1)
A = 16 in² + 16 in² + 288 in² = 320 in²
4 Legs
A = 4(392 in²) = 1,280 in²
Total Surface Area of Stool
A = 483.56 in² + 1,280 in² = 1,763.56 in² AREA TO BE PAINTED
3. The volume of a cone is three hundred cubic kilometers. If the radius of the base is 6 kilometers,
what is the height of the cone?
V = volume = 300 km³
r = radius of the base = 6 km
V = πr²h/3
3V = πr²h
3V/πr² = h
h = 3V/πr²
h = 3(300 km³)/π(6 km)²
h = 7.96 km HEIGHT OF THE CONE