A gift box in the shape of a cylinder has a diameter of 8 inches and a height of 12 inches. Which measurement is closest to the total surface area of the gift box in square inches?
402.12 in.?
301.59 in.?
1,005.31 in.?
603.19 in,?
The total surface area of a cylinder can be found using the formula:
SA = 2πr^2 + 2πrh
where r is the radius and h is the height.
Given that the diameter is 8 inches, the radius is half of that, so r = 8/2 = 4 inches.
Substituting the values into the formula:
SA = 2π(4^2) + 2π(4)(12)
= 2π(16) + 2π(48)
= 32π + 96π
= 128π
To find an approximate value, we can use 3.14 as an approximation for π:
128π ≈ 128(3.14) = 401.92
Therefore, the measurement closest to the total surface area is 402.12 in².
length of one side of Joseph's office in feet?
Joseph completely covered the floor of his square office with carpet. He used 148 ff? of carpet. Which measurement is closest to the
A 11 ft
B 27 ft
C 12 ft
D 74 ft
If Joseph completely covered the floor of his square office with carpet, and he used 148 ft² of carpet, we can find the length of one side of the office by taking the square root of the area.
Let x be the length of one side of the square office.
x^2 = 148 ft²
Taking the square root of both sides:
x ≈ √148
x ≈ 12.17 ft
Therefore, the measurement closest to the length of one side of Joseph's office is 12 ft (option C).