1.Which solid has one base that is a triangle and three lateral surfaces that are triangles?
A:triangular pyramid***
B:triangular prism
C:rectangular prism
D:rectangular pyramid
2:Sara needs to cover the top and the sides of the cylinder below.
8in 12in
About how many squat inches of paper will Sara need?
A:352in²***
B:402in²
C:804in²
D:1,005in²
3.what is the surface area of a sphere with a radius of 4 meter rounded to the nearest square meter?
A:50m²
B:101m²
C:201m²
D:268m²***
4.What is the volume of asphere with a radius of 5 meters rounded to the nearest square meter?
A:560m³
B:314m³
C:340m³
D:524m³***
5.What is the volume of a sphere with a radius of 7 cm rounded to the nearest cubic centimeter?
A:4,310cm³
B:1,437cm³***
C:615cm³
D:359cm³
Correct me if I'm wrong
Can some one please help me...ms.sue?...reed?....I need help :(
#1, 4,5 are correct
#3
SA of a sphere = 4π r^2
so if r = 4
SA = 4π(16) = appr 201
#2, can't see the diagram, will assume r = 8, height = 12 , cover the top but not the bottom
SA = πr^2 + 2πrh
= π(64) + 2π(8)(12) = appr 804
1. You are correct, the solid with one base that is a triangle and three lateral surfaces that are triangles is a triangular pyramid.
2. To find the surface area of the cylinder, you need to add the area of the top and the area of the sides. The formula for the surface area of a cylinder is given by 2πr² + 2πrh, where r is the radius of the base and h is the height of the cylinder. In this case, the radius is 8 inches and the height is 12 inches. Plugging these values into the formula, you get 2π(8²) + 2π(8)(12) = 402in². So the correct answer is B: 402in².
3. The formula for the surface area of a sphere is given by 4πr², where r is the radius of the sphere. In this case, the radius is 4 meters. Plugging this value into the formula, you get 4π(4²) = 201m². However, since the question asks for the answer rounded to the nearest square meter, the correct answer is D: 268m².
4. The formula for the volume of a sphere is given by (4/3)πr³, where r is the radius of the sphere. In this case, the radius is 5 meters. Plugging this value into the formula, you get (4/3)π(5³) = 524m³. Since the question asks for the answer rounded to the nearest cubic meter, the correct answer is D: 524m³.
5. The formula for the volume of a sphere is given by (4/3)πr³, where r is the radius of the sphere. In this case, the radius is 7 cm. Plugging this value into the formula, you get (4/3)π(7³) ≈ 1,437cm³. Since the question asks for the answer rounded to the nearest cubic centimeter, the correct answer is B: 1,437cm³.