Mathematics, 13.09.2020 07:01 hgl

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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.

Answer from: Quest

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.

Answer from: Quest

1^3 + 2^3 + 3^3 +4^3 = (1+2+3+4)^2

step-by-step explanation:

i am only able to answer the first part. i am not sure about the second part. sorry

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