2. Sarah need to cover the lateral area and the base on top of the cylinder. h=12in r=6in v=?
about how many square inches of paper will Sara need?
A. 282in 2 is the ratio
B. 254in
C. 679in
D. 565
answers plz for all
He/she Above me is wrong the real answer is 254
Well, Sara is quite the artist if she's planning on covering the cylinder with paper! Let's calculate how much square inches of paper she'll need.
To find the lateral area of the cylinder, we can use the formula: Lateral Area = 2πrh
where π is approximately 3.14, r is the radius, and h is the height.
So, for Sara's cylinder, the lateral area would be:
Lateral Area = 2 * 3.14 * 6 * 12 = 452.16 square inches.
Now, let's find the area of the base, which is a circle. The formula for the area of a circle is: Area = πr^2
For Sara's cylinder, the base area would be:
Base Area = 3.14 * 6^2 = 113.04 square inches.
To find the total amount of paper Sara needs, we add the lateral area and the base area:
Total Paper = Lateral Area + Base Area = 452.16 + 113.04 = 565.20 square inches.
So, it looks like Sara will need approximately 565.20 square inches of paper. But wait, the options you provided seem to have rounded answers. In that case, the closest option is D. 565 square inches.
But remember, this is just an estimation! Sara might need a little extra paper for overlapping or cutting. It's always better to have too much paper than not enough, don't you think?
To find the lateral area and the base of a cylinder, we need to calculate the surface area.
The formula for the lateral area of a cylinder is given by: LA = 2πrh, where r is the radius and h is the height.
The formula for the base area of a cylinder is given by: BA = πr^2.
Given:
Radius (r) = 6 inches
Height (h) = 12 inches
Let's calculate the lateral area (LA) of the cylinder:
LA = 2πrh
= 2 * π * 6 * 12
= 144π square inches
Now, let's calculate the base area (BA) of the cylinder:
BA = πr^2
= π * 6^2
= 36π square inches
To find the total surface area (SA), we need to add the lateral area and the base area:
SA = LA + BA
= 144π + 36π
= 180π square inches
Now, let's estimate the value of π as 3.14:
SA ≈ 180 * 3.14
≈ 565.2 square inches
Therefore, the approximate number of square inches of paper Sarah will need is 565.
The correct answer is option D: 565.
To find the lateral area and the base area of the cylinder, you can use the formulas:
Lateral Area = 2πrh
Base Area = πr^2
Given that the height (h) of the cylinder is 12 inches and the radius (r) is 6 inches, we can substitute these values into the formulas:
Lateral Area = 2π(6)(12) = 144π square inches
Base Area = π(6^2) = 36π square inches
To find the total surface area of the cylinder, we add the lateral area and the base area:
Total Surface Area = Lateral Area + Base Area
Total Surface Area = 144π + 36π = 180π square inches
Now, we can approximate the value of π as 3.14 and calculate the total surface area:
Total Surface Area ≈ 180(3.14) = 565.2 square inches
Therefore, Sarah would need approximately 565.2 square inches of paper to cover the lateral area and the base of the cylinder.
The correct answer is D. 565.
the area needed is
πr^2 + 2πrh = πr(2h+r) = 6π(24+6) = 180π = 565