A cyclist travels from Ato B in two stages. Stage one is 28kmwhich is 2/7 of the total journey . How long is stage 2

This was the question it got deleted I just need 1,2,5

scoundrel [369]

Answer:

1. The volume of the cylinder is 263 $cm^{3}$ .

2. The volume of the cylinder is 12 $m^{3}$ .

3. The volume of the cylinder is 3165.1 $cm^{3}$ .

4. The radius of the cylinder is 3.6 cm.

5a. Area of the base is 50.2 $cm^{2}$ .

5b. The curved surface area of the pencil holder is 351.7 $cm^{2}$ .

5c. The surface are of the pencil holder is 452.2 $cm^{2}$ .

Step-by-step explanation:

1. The given shape is a cylinder, so that;

volume of a cylinder = $\pi$ $r^{2}$ h

= 3.14 x $(3.8)^{2}$ x 5.8

= 262.98128

The volume of the cylinder is 263 $cm^{3}$ .

2. This is also a cylinder, but with a given diameter.

radius = $\frac{diameter}{2}$

= $\frac{1.2}{2}$ = 0.6 m

volume of a cylinder = $\pi$ $r^{2}$ h

= 3.14 x $(0.6)^{2}$ x 10.6

= 11.98224

The volume of the cylinder is 12 $m^{3}$ .

3. volume of a cylinder = $\pi$ $r^{2}$ h

= 3.14 x $6^{2}$ x 28

= 3165.12

The volume of the cylinder is 3165.1 $cm^{3}$ .

4. volume of a cylinder = $\pi$ $r^{2}$ h

239 = 3.14 x $r^{2}$ x 6

239 = 18.84 $r^{2}$

$r^{2}$ = $\frac{239}{18.84}$

= 12.6858

r = $\sqrt{12.6858}$

= 3.5617

The radius of the cylinder is 3.6 cm.

5. Area of the base = $\pi$ $r^{2}$

radius = $\frac{diameter}{2}$

= $\frac{8}{2}$ = 4 cm

Area of the base = 3.14 x $4^{2}$

= 50.24

Area of the base is 50.2 $cm^{2}$ .

5b. Area of the curved surface of the pencil holder = 2 $\pi$ rh

= 2 x 3.14 x 4 x 14

= 351.68

The curved surface area of the pencil holder is 351.7 $cm^{2}$ .

5c. Surface area of the pencil holder = 2 $\pi$ rh + 2 $\pi$ $r^{2}$

= 2 $\pi$ r(h + r)

= 2 x 3.14 x 4 (14 + 4)

= 452.16

The surface are of the pencil holder is 452.2 $cm^{2}$ .

7 0

3 years ago

What is the factored equation for f(x)=x+x-6

tekilochka [14]

Answer:

f(x)=2(x-3) yup that's the answer

8 0

3 years ago

Please help me with numbers 1 & 2. Please show work, thank you.

Orlov [11]

1.) Jarvis lives 3 miles away from Cassidy and Theo lives 6 miles away.
(if Jarvis lives 3 miles away from Cassidy and Theo is twice as far from Jarvis, Theo would be twice as many miles away from Cassidy than Jarvis; 3 times 2 is 6; 3+6+=9)
2.) Jorge's watering can can hold 8 cups of water.
(Older brother's can hold 16 cups; 8+8+16= 32; there are 32 cups in 2 gallons)

7 0

3 years ago

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How can I solve this does anyone knows?

Ipatiy [6.2K]

A. C = 17h + 15
b. 83 = 17h + 15
-15 - 15 subtract 15 from both sides
68 = 17h
------------
17 divide both sides by 17
4=h
They cleaned the house for 4 hours
c. C = 20x
to do this last part, you would put both equations into the calculator under y=, then look at the table to determine when the price is the same. According to the calculator, the price is the same at 5 hours

7 0

3 years ago

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Casey buys a bracelet. She pays for the bracelet and pays \$0.72$0.72 in sales tax. The sales tax rate is 6\%6%. What is the ori

aleksklad [387]

Answer:

$12.00

Step-by-step explanation:

If they paid $0.72 in tax and tax is 6% or .06 then you could create an equation like this: x * .06 = .72 with x representing the original cost of the bracelet. Now you can just solve for x like so:

x * .06 = .72

÷.06 ÷.06

x = 12

7 0

3 years ago

Read 2 more answers