Find the surface area of a cylinder with a base diameter of 6 yd and a height of 5 yd
1 answer:
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*I am assuming that the hexagons in all questions are regular and the triangle in (24) is equilateral*
(21)
Area of a Regular Hexagon: square units
(22)
Similar to (21)
Area = square units
(23)
For this case, we will have to consider the relation between the side and inradius of the hexagon. Since, a hexagon is basically a combination of six equilateral triangles, the inradius of the hexagon is basically the altitude of one of the six equilateral triangles. The relation between altitude of an equilateral triangle and its side is given by:
Hence, area of the hexagon will be: square units
(24)
Given is the inradius of an equilateral triangle.
Substituting the value of inradius and calculating the length of the side of the equilateral triangle:
Side = 16 units
Area of equilateral triangle = square units
Kevin painted of the wall.
Solution:
Fraction of the wall painted by Elena =
Fraction of the wall painted by Matthew =
Fraction of the wall painted by Kevin = ?
Full wall can be taken as 1.
<u>To find the wall painted by Kevin:</u>
Rest of the wall = Full wall – painted by Elena – Painted by Matthew
To make the denominator same, multiply the numerator and denominator of the first term by 9.
Rest of the wall =
Hence the kevin painted of the wall.