A? B? C? D?..................................................
2 answers:
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Answer:
The correct option is;
a. 12 pie cm
Step-by-step explanation:
Cavalieri's principle states that if the cross-sectional area of two or more figures of the same altitude are the same at each level of the figures, then the volumes of the figures are also the same;
Given that the base area of the square based prism and the cylinder are the same, and that the square based prism and the cylinder have equal height of 4 cm, then by Cavalieri's principle, their volumes are the same
The volume of the square based prism = 452 cm³
Therefore, the volume of the cylinder (of equal base area) = 452 cm³
The formula for the volume of square based prism = Area of base × Height
∴ The volume of square based prism, 452 cm³ = Area of base × 4 cm
Which gives;
Area of the base of the square based prism = 452/4 = 113 cm²
The area of the base of the cylinder = The area of the base of the square based prism = 113 cm²
The area of the base of the cylinder, is given by the following equation;
= π×r² = 113 cm²
r = √(113/π) = √35.97 ≈ √36 = 6 cm
The circumference of the base of the cylinder, is given by the following equation
= 2×π×r ≈ 2×π×6 = 12×π cm
The correct option is 12 pie cm.
Answer:
Step by step explanation:
We have been given a number 75 and we are supposed to rewrite it using a different way. Since the given number has been written in standard notation, we can write it using scientific notation.
We know that we can write a standard number in scientific notation by moving the decimal point to the left or right and making corresponding changes to the exponent of 10. In this case, we will move the decimal point to the left by one place and raise the exponent of 10 by 1. Therefore, we get the required number in a different notation (scientific notation) as .
Given parameters:
Mark up percentage = 150%
Original cost = $488
Sales tax = 5%
Unknown:
His total cost = ?
Solution:
Marking up a good is the amount a sell adds to a product which makes its selling price usually for a profit.
Since the emerald was marked up by 150%;
New cost = (1 + 1.5) x $488 = $1220
Now, the additional tax was 5%;
Tax = x 1220 = $61
So, the total cost = New cost + tax = $1220 + $61 = $1281