Answer:
- <u>Surface Area = 399.4 m²</u>
- <u>Volume = 1675.5 m³</u>
Step-by-step explanation:
<u>Lateral Surface Area of the Cylindrical Part</u>
- 2πrh
- 2 x π x 5 x 8
- 80 x π
- 251.3 m²
<u>Slant height of cone</u>
- √r² + h²
- √25 + 64
- √89
- 9.43 m
<u>Surface Area of Conical Portion</u>
- πrl
- π x 5 x 9.43
- 47.15 x π
- 148.1 m²
<u>Total Surface Area</u> :
- 251.3 + 148.1
- <u>399.4 m²</u>
<u></u>
<u>Volume</u>
- V = πr²h + 1/3πr²h
- V = πr²h (1 + 1/3)
- V = π x 25 x 8 x (4/3)
- V = π x 1600/3
- V = <u>1675.5 m³</u>
Rita's pay plus the overtime hrs, plus Tina's pay equals the total weekly wages(w)
[(11r) + 32] + 11t = w
That's one of the ways
Also, Rita's pay plus Tina's pay = weekly wages plus Rita's overtime hours pay
11r + 11t = w +32
Technically you just have to put the variables in the right places for it to make sense for the word problem
You can do the last example Good Luck!
Hope this helps :)
i. Line BD = 6√2 cm
ii. Perimeter = 3 (π + 4) cm
iii. Area = 18 ( π - 2) cm
<h3>How to determine the parameters</h3>
Let the length of BD = x
Since B is the midpoint of the arc AC, then ∠BOC = 15°
In ΔBDB
Let's use the trigonometric ration, tan
CD = x
Then, using the Pythagorean theorem
Thus, line BD is cm
ii. Perimeter = BC + BD + CD
= 2πr/8 + x + r - x
= π(12)/4 + r
= 3π + 12
= 3 ( π + 4) cm
iii. Area of shaded area = Area of BOC + Area of BOD
⇒ πr^2/8 × 1/2x^2
= π144/8 × 1/2(72)
= 18π - 36
= 18 ( π - 2) cm²
Learn more about quadrant of a circle here:
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