Answer:
The volume of the pyramid is not equal to the volume of the cylinder.
Step-by-step explanation:
A right cylinder has the circular cross-sectional area and if the cross-sectional areas of a right pyramid and a right cylinder are the same then the pyramid must be a right circular cone.
Now, the volume of a right cylinder is πr²h and that of a right circular cone is 1/3 πr²h.
Therefore, the radius of the base of the cone and that of the cylinder is the same and their heights are equal to be 5 units, then the volume of the pyramid is not equal to the volume of the cylinder. (Answer)
Answer:
-7/3
Step-by-step explanation:
Using translation concepts, considering the vertices (x,y) of figure p, the following rule is applied to find the vertices of figure r.
(x,y) -> (x + 4, y).
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
When a figure is shifted 4 units to the right, <u>4 is added to the x-coordinate</u>, hence, considering the vertices (x,y) of figure p, the following rule is applied to find the vertices of figure r.
(x,y) -> (x + 4, y).
More can be learned about translation concepts at brainly.com/question/28416763
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Answer:
Area of circle A =113.14 mm²
Area of circle b = 314.29 mm²
Area of circle C = 452.57 mm²
Area of circle A = 254.57 mm²
2.25 times
Step-by-step explanation:
Area of a circle = nr²
where n = 22/7
r = radius
Circle A's radius = 6mm
Circle B's radius = 6mm + 4mm = 10mm
Circle C's radius = 10mm + 2mm = 12mm
Circle D's radius = 12mm - 3mm = 9mm
Area of circle A = (22/7) x 6² = 113.14 mm²
Area of circle b = (22/7) x 10² = 314.29 mm²
Area of circle C = (22/7) x 12² = 452.57 mm²
Area of circle A = (22/7) x 9² = 254.57 mm²
Number of times the area of circle D is greater than that circle A = Area of circle D / Area of circle A
254.57 mm² / 113.14 mm² = 2.25 times
288 books.
8 books in 5 minutes.
60 minutes in one hour.
5 * 12 = 60
60 minutes * 3 = 3 hours
8 * 12 = 96
96 books in one hour.
96 * 3 = 288
288 books in three hours.
