The lateral area of a cone is 400 pi cm^2. The radius is 10 cm. Find the slant height to the nearest tenth.
GEOM B U6 L3 Surface Areas of Pyramids and Cones
1. A, 24
2. B, pentagon
3. A, 76 m²; 244 m²
4. B, 671 m²; 725 m²
5. A, 216π in.²
6. A, 72 ft²
7. C, 650 m²
8. C, 6.9 mm
9. D, 19 m
10. A, 40 cm
Yeah, whoever is above me(no idea how to abbriviate that name lol) is correct.
well, a = πrs, so s = a/(πr) = 400π/10π = 40.0
oobleck is correct. I took a quiz with this question and it is 40. Thx oobleck!
his answer is definitely right! Just took the quiz, and got 100%!! Thank you!!
I personally had a question the same but with different numbers. it was 603 pi cm^2 LA and radius 26 cm. the answer was 23.2
100% thank you because stupid quizlet didnt save me today
Surface areas of pyramids and cones quiz
1. Use Euler's formula...V=14..E=36.. answer= a-24
2. Pierre built the model.. answer=b-pentagon
3. Use formulas to find... answer= a- 76m^2; 244m^2
4. Use formula to find... answer= b-671m^2; 725 m^2
5. Find the surface area...cylinder... answer= a- 216 pi inches^2
6. for the following question...surface area...regular pyramid.. answer= a- 72ft^2.
7. for the following question...surface area.regular pyramid..answer=c-650m^2
8. Find the slant height... pyramid...answer=c=6.9mm ...haha 69
9. Find the slant height...cone...answer=d-19m
10. The lateral area of a cone...answer=a-40cm
To find the slant height of a cone, we can use the formula:
Slant height = √(radius^2 + height^2)
In this case, we are given the lateral area of the cone, which is the surface area of the curved part excluding the base. The formula for the lateral area of a cone is:
Lateral area = πrℓ
where r is the radius and ℓ is the slant height.
Given that the lateral area is 400π cm^2 and the radius is 10 cm, we can write the equation:
400π = π(10)(ℓ)
Simplifying, we have:
400 = 10ℓ
Now, divide both sides by 10 to solve for ℓ:
ℓ = 400/10 = 40
Therefore, the slant height of the cone is 40 cm.