Y intercept = (0, 985)
X intercept = (-197/77, 0)
Question:
A boy makes a cone of diameter 28 cm without a base. He then cuts a smaller cone of diameter 20 cm from the cone. He used the bottom part as a lampshade. If the height of the lampshade is 11cm,
(a) find the volume of the whole cone.
(b) find in cm2, the area of the material used to make the lampshade.
Answer:
(a) V ≈ 16420.1
(b) A ≈ 2690.1 cm²
Step-by-step explanation:
<u>Solution for (a)</u>
Formula: The formula for the volume of a cone is V = 1/3 hπr².
V= πr² h
/3 = π × 28/ 2 × 20/ 3 ≈ 16420.0576
16420.0576 in nearest tenths is 16420.1
Therefore, the volume of the whole cone is 16420.1 cm²
<u>Solution for (b)</u>
Formula: A = πrl + πr2.
l = r² + h²
Solving for A
A = πr (r + h²+ r²) = π × 20 × (20 + 112 + 202) ≈ 2690.80077
2690.80077 In nearest tenths, is 2690.1
Therefore, the area of the material used to make the lampshade is 2690.1 cm²
Answer:
The radius of the circle is 25m
Step-by-step explanation:
Here, we are to calculate the radius of the circle.
The distance from the circle center, the half the length of the chord and the radius forms a right triangle with the radius being the hypotenuse.
We can then use Pythagoras’s theorem to approximate the value of the radius
Mathematically, the Pythagorean theorem establishes that the square of the hypotenuse = the sum of the squares of the other two sides
r^2 = 7^2 + 24^2
r^2 = 49 + 576
r^2 = 625
r = √(625)
r = 25m
Answer:
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Step-by-step explanation:
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