Find the lateral surface area of the cylinder to the nearest whole number the figure is not drawn to
18 in. Top
15in. Side
a. 848 cm2
B. 1696 cm2
C. 15262 cm 2
D.1287 cm2
It is impossible to provide a solution without the height of the cylinder. The lateral surface area of a cylinder is given by the formula LSA = 2πrh, where r is the radius and h is the height.
18 in radius
15 in side
Find the lateral surface area of the cylinder to the nearest whole
The lateral surface area of a cylinder is given by the formula LSA = 2πrh, where r is the radius and h is the height.
Given:
Radius, r = 18 in
Side, h = 15 in
We know that the height of a cylinder is equal to its side (or height) and therefore, h = 15 in.
LSA = 2 x π x 18 in x 15 in
LSA = 1696.04 in^2 (rounded to the nearest whole number)
Therefore, the lateral surface area of the cylinder is approximately 1696 in^2. Answer: B.
To find the lateral surface area of a cylinder, you need to know the height (h) and the radius (r) of the cylinder. However, in this case, only the measurements of the top (18 in.) and the side (15 in.) are given. We can use this information to calculate the radius and height of the cylinder.
The top is the base of the cylinder, which is a circle. We know that the diameter of the top is 18 in., so the radius (r) can be found by dividing the diameter by 2: r = 18 in. / 2 = 9 in.
The side of the cylinder is a rectangle that is rolled out flat, forming a rectangle. The length of this rectangle is the same as the circumference of the base, which is 2πr, and the width of the rectangle is the same as the height (h) of the cylinder.
The circumference of the base can be found using the formula C = 2πr, where π (pi) is approximately 3.14159. Therefore, the circumference is C = 2 * 3.14159 * 9 in. ≈ 56.54867 in.
Since the given side of the cylinder measures 15 in., we can set up the following equation to find the height (h):
length of the rectangle = circumference of the base
15 in. = 56.54867 in.
Now, we can solve for the height (h):
h = 15 in. * (56.54867 in. / 56.54867 in.) = 15 in.
So, we have found that the radius (r) is 9 in. and the height (h) is 15 in. Now let's calculate the lateral surface area of the cylinder.
The lateral surface area (LSA) of a cylinder can be found using the formula LSA = 2πrh, where r is the radius and h is the height.
Plugging in the values, we get:
LSA = 2 * 3.14159 * 9 in. * 15 in.
≈ 848.23 in²
Rounding the answer to the nearest whole number, the lateral surface area of the cylinder is approximately 848 cm².
Therefore, the correct answer is A. 848 cm².