Question

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Answer 1

1.
Circumference:
 2*π*radius. 
2*3.14*5
31.4
Circumference = 31.4

Surface area:
Substitute the values of the radius (r=5), the height (h=9), and an approximation for π(3.14) into the formula.
SA=2(3.14)(5)^2+2(3.14)(5)(9)

Simplify each term.
SA=157+282.6

Add 157 and 282.6 to get 439.6.
Surface area=439.6cm^2

Volume:
Substitute the values of the radius (r=5), the height (h=9), and an approximation of Pi (3.14) into the formula to find the volume of the cylinder.
V≈3.14⋅5^2⋅9

Raise 5 to the power of 2 to get 25.
V≈+3.14⋅25⋅9

Simplify
Volume = 706.5cm^3

2.
Circumference:
 2*π*radius. 
2*3.14*9
56.52
Circumference=56.52

Surface area:
Substitute the values of the radius (r=9), the height (h=24), and an approximation for π(3.14) into the formula.
SA=2(3.14)(9)^2+2(3.14)(9)(24)

Simplify each term.
SA=508.68+1356.48

Add 508.68 and 1356.48 to get 1865.16.
Surface area = 1865.16in^2

Volume:
Substitute the values of the radius (r=9), the height (h=24), and an approximation of Pi (3.14) into the formula to find the volume of the cylinder.
V≈3.14⋅9^2⋅24

Raise 9 to the power of 2 to get 81.
V≈+3.14⋅81⋅24
Multiply 3.14 by 81 to get 254.34.
V≈+254.34⋅24
Multiply 254.34 by 24 to get 6104.16.

V≈+6104.16in^3

3.
Circumference:
2*π*radius. 
2*3.14*10
62.8
Circumference=62.8

Surface area:
Substitute the values of the radius (r=10), the height (h=15.5), and an approximation for π(3.14) into the formula.
SA=2(3.14)(10)^2+2(3.14)(10)(15.5)

Simplify each term.
SA=628+973.4
Add 628 and 973.4 to get 1601.4.
SA=1601.4
Surface area=1601.4cm^2

Volume:
Substitute the values of the radius (r=10), the height (h=15.5), and an approximation of Pi (3.14) into the formula to find the volume of the cylinder.
V≈3.14⋅10^2⋅15.5

Group coefficients together and exponents together to multiply numbers in scientific notation.
V≈+(3.14⋅15.5)(10^2)
Multiply 3.14 by 15.5 to get 48.67.
V≈+48.67⋅10^2
Write 48.67⋅10^2 in proper scientific notation.

V≈+4.867⋅10^3cm^3

4.
Circumference:
2*π*radius. 
2*3.14*24
Circumference=150.72

Surface area:
Substitute the values of the radius (r=24), the height (h=6), and an approximation for π(3.14) into the formula.
SA=2(3.14)(24)^2+2(3.14)(24)(6)

Simplify each term.
SA=3617.28+904.32
Add 3617.28 and 904.32 to get 4521.6.
SA=4521.6
Surface area=4521.6in^2

Volume:
Substitute the values of the radius (r=24), the height (h=6), and an approximation of Pi (3.14) into the formula to find the volume of the cylinder.
V≈3.14⋅24^2⋅6

Raise 24 to the power of 2 to get 576.
V≈+3.14⋅576⋅6
Multiply 3.14 by 576 to get 1808.64.
V≈+1808.64⋅6
Multiply 1808.64 by 6 to get 10851.84.

V≈+10851.84in^3

To solve the second part to the problem just find the two items in your home and solve for the circumference, surface area, and volume. You can look back at my steps for formulas if you need help.