Answer:
i) pi×4500 cm³
ii) pi×600 cm²
iii) 14 liters
Step-by-step explanation:
in general : the diameter is 30 cm, the radius is half of that (15 cm)
i)
the volume of a cylinder is base area times height.
Vc = pi×r²×h = pi×15²×20 = pi×225×20 = pi×4500 cm³
ii)
similar to volume, the side "mantle" area of the cylinder is the circumference of the base area times height.
surface area of the cylinder mantle is
Scm = 2×pi×r×h = 2×pi×15×20 = pi×30×20 = pi×600 cm²
iii)
for this we need now to do the multiplication with pi and then convert the cm³ to liters.
1 liter = a cube of 10 cm side length = 10×10×10 = 1000 cm³
pi×4500 = 14137.17 cm³ = 14.13717 liters or rounded 14 liters
The value of y in the triangle is 2√5
The triangle above is a right angle triangle.
Characteristics of a right angle triangle:
- One of its angle is equals to 90 degrees
- The sides can be found using Pythagoras theorem.
Using Pythagoras theorem
where
c = hypotenuse(longest side)
a and b are the 2 other legs.
Therefore,
6² = 4² + y²
36 = 16 + y²
y² = 36 - 16
y² = 20
y = √20
y = 2√5
learn more on right angle triangle here:brainly.com/question/3770177?referrer=searchResults
Answer:
p+2=-15 step1:-2 on both sides
p=-17
p=-17
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