Answers and Step-by-step explanations:
1. The surface area of a cylinder is denoted by: , where r is radius and h is height. Here, the radius is r = 7 and the height is h = 20, so plug these values in:
≈ 1187 sq inches. So, C.
2. The volume of a cube is denoted by: , where s is the side length. Here, the side length is s = 8, so plug this in:
cubic inches
3. The surface area is the area of the exterior of the 3D figure. Here, we have the two circular bases, obviously. But also note that if you "unroll" the cylinder, you actually get a rectangle. So, you need to add the areas of the circles to the rectangle lateral area. So, A.
4. The surface area of a rectangular prism is denoted by: , where l is the length, w is the width, and h is the height. Here, the length is l = 5, the width is w = 3, and the height is h = 3. Plug these values in:
sq inches. So, D.
5. The volume of a cylinder is denoted by: , where r is the radius and h is the height. Here, we can see that the height is h = 7, and the diameter is d = 16. Remember that the diameter is just twice the radius, so the radius is r = 16/2 = 8. Plug these values in:
, so A.
Hope this helps!