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
U just move the decimal over and they would equal 3 and 0.1
Answer:
40x² + 240x + 200
Step-by-step explanation:
(10x + 10) (4x + 20) = 40x² + 240x + 200
For this case we can propose a rule of three according to the Shontaro base performance.
4 hits ------------> 12 times at bat
x -------------------> 36 times at bat
Where "x" represents the number of hits he will have the following week, based on his previous performance.
So, Shintaro will have 12 hits in 36 times at bat
Answer:
Shintaro will have 12 hits in 36 times at bat
OPtion B
