Answer:
Step-by-step explanation:
Part A: 5/26
Part B: 5/26+ 1/2 which is 18/26 or 9/13
Part C: 5/26 +21/25. 'without replacing' means there is one less option in the bag. So denominator becomes 26-1=25. Numerator is 21 because there are a total of 21 consonants in the alphabet. Since we removed a vowel and not a consonant, it will remain 21.
Height is 1 1/24 unit.
Given:
volume = 5/24 unit³
base area = 1/5 unit²
Rectangular prism:
volume = length * width * height
base area = length * width
Volume = base area * height
height = volume / base area
h = 5/24 ÷ 1/5
h = 5/24 * 5/1 = 5*5 /24*1 = 25/24 = <span>1 1/24 unit</span>
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
