What is the lateral surface area of a cone with radius 19cm and slant height 11cm?
possible answers;
19picm^2
30picm^2
200picm^2
209picm^2
What is the lateral area of the square pyramid to the nearest whole number?
base 11m and slant 15m
possible answers;
165m^2
176m^2
330m^2
351m^2
Please help
The answer is 209 pi cm^2
L.A.(Lateral Area) = π19×11 = 209 π
To find the lateral surface area of a cone, you can use the formula:
Lateral Surface Area = π * radius * slant height
Given that the radius is 19 cm and the slant height is 11 cm, you can substitute these values into the formula:
Lateral Surface Area = π * 19 cm * 11 cm
Lateral Surface Area = 19π * 11 cm^2
Now, let's calculate it:
Lateral Surface Area ≈ 209 cm^2
Therefore, the correct answer is 209pi cm^2.
Now, to find the lateral area of a square pyramid, you can use the formula:
Lateral Area = base perimeter * slant height / 2
Given that the base length is 11 m and the slant height is 15 m, we can calculate the base perimeter by multiplying the base length (11 m) by 4:
Base Perimeter = 4 * 11 m
Base Perimeter = 44 m
Now, let's calculate the lateral area using the formula:
Lateral Area = 44 m * 15 m / 2
Lateral Area = 660 m^2 / 2
Lateral Area ≈ 330 m^2
Therefore, the correct answer is 330 m^2.
To calculate the lateral surface area of a cone, you need to use the formula:
Lateral Surface Area = π * r * l
where π is approximately 3.14, r is the radius of the cone's base, and l is the slant height of the cone.
For the first question, the radius (r) is given as 19 cm and the slant height (l) is given as 11 cm. Plugging these values into the formula, we get:
Lateral Surface Area = 3.14 * 19 * 11
= 647.66 cm^2 (approximately)
None of the given answer choices match this value, so it seems there might be a typographical error in the options. Please verify the options or the values given in the question.
Moving on to the second question, to find the lateral area of a square pyramid, you need to calculate the sum of the areas of its lateral faces. Since the pyramid is square-based, each lateral face is a square.
The formula to calculate the lateral surface area of a square pyramid is:
Lateral Surface Area = 4 * r * l
where r is the base length of the square pyramid and l is the slant height.
In this case, the base length (r) is given as 11 m and the slant height (l) is given as 15 m. Plugging these values into the formula, we get:
Lateral Surface Area = 4 * 11 * 15
= 660 m^2 (approximately)
Out of the given options, the nearest whole number to 660 m^2 is 661 m^2. However, none of the provided answer choices match this value exactly. Please double-check the options given in the question.