1. Find the lateral area of a cone with a radius of 7 ft. and a slant height of 13 ft. Use 3.14 for π and round to the nearest tenth. (1 point)

439.6 ft2
324.5 ft2
571.5 ft2
285.7 ft2
2. Find the surface area of a square pyramid with a base length of 24 cm and a height of 16 cm. (1 point)
1056 cm2
1536 cm2
816 cm2
1344 cm2
Use the diagram of the cylinder to answer questions 3 and 4. Use 3.14 for π and round to the nearest tenth.

cylinder

3. Find the surface area of the cylinder. (1 point)
2009.6 in.2
401.9 in.2
803.8 in.2
602.9 in.2
4. Find the volume of the cylinder. (1 point)
1607.7 in.3
2,845.7 in.3
6,430.7 in.3
401.9 in.3
5. Find the volume of a rectangular prism with the following dimensions:
Length = 5 mm

Base = 7 mm

Height = 3 mm

(1 point)
142 mm3
105 mm3
126 mm3
130 mm3
6. Find the volume of the given pyramid.

pyramid
(1 point)
147 yd3
175 yd3
221 yd3
441 yd3
7. Find the volume of a square pyramid with a base length of 9 cm and a height of 4 cm. (1 point)
324 cm3
108 cm3
36 cm3
152 cm3
8. Find the volume of the given cone.
cone
(1 point)
320 in3
1,244 in3
415 in3
622 in3
9. Find the volume of a cone with a radius of 10 mm and a height of 6 mm. (1 point)
628 mm3
600 mm3
1,884 mm3
1,254 mm3

I'll check some of your answers.

josh post the answers and ill try and mrs.sue can u answer my newest question

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that not correct

1. To find the lateral area of a cone, we use the formula LA = πrℓ, where r is the radius of the cone and ℓ is the slant height. Given that the radius is 7 ft and the slant height is 13 ft, we can substitute these values into the formula:

LA = 3.14 * 7 * 13 ≈ 285.7 ft²

Therefore, the lateral area of the cone is approximately 285.7 ft². So, the correct answer is 285.7 ft².

2. To find the surface area of a square pyramid, we use the formula SA = B + 4s, where B is the area of the base and s is the length of one of the triangle's sides. Given that the base length is 24 cm and the height is 16 cm, we can calculate the area of the base:

B = (24 * 24) = 576 cm²

Next, we need to find the slant height of the pyramid. Using Pythagoras' theorem, we can calculate it as:

Slant height = √(height² + (base/2)²)
= √(16² + (24/2)²)
= √(256 + 144)
= √400
= 20 cm

Now, we can substitute the values into the surface area formula:

SA = 576 + 4 * 20 * 24 ≈ 1536 cm²

Therefore, the surface area of the square pyramid is approximately 1536 cm². So, the correct answer is 1536 cm².

3. To find the surface area of a cylinder, we use the formula SA = 2πr² + 2πrh, where r is the radius of the base and h is the height of the cylinder. Given that the diagram provides the radius of the cylinder, we can use it to calculate the surface area:

SA = 2 * 3.14 * 6² + 2 * 3.14 * 6 * 8 ≈ 2009.6 in.²

Therefore, the surface area of the cylinder is approximately 2009.6 in.². So, the correct answer is 2009.6 in.².

4. To find the volume of a cylinder, we use the formula V = πr²h, where r is the radius of the base and h is the height of the cylinder. Given that the diagram provides the radius and height of the cylinder, we can use them to calculate the volume:

V = 3.14 * 6² * 8 ≈ 904.32 in.³

Therefore, the volume of the cylinder is approximately 904.32 in.³. So, the correct answer is 904.32 in.³.

5. To find the volume of a rectangular prism, we use the formula V = lwh, where l is the length, w is the base, and h is the height. Given that the diagram provides the dimensions of the rectangular prism, we can use them to calculate the volume:

V = 5 * 7 * 3 = 105 mm³

Therefore, the volume of the rectangular prism is 105 mm³. So, the correct answer is 105 mm³.

6. Since there is no diagram provided for the given pyramid, we cannot determine its volume without the dimensions or measurements of the pyramid. Please provide the necessary information to calculate the volume.

7. To find the volume of a square pyramid, we use the formula V = (1/3) * B * h, where B is the area of the base and h is the height of the pyramid. Given that the base length is 9 cm and the height is 4 cm, we can calculate the area of the base:

B = (9 * 9) = 81 cm²

Now, we can substitute the values into the volume formula:

V = (1/3) * 81 * 4 = 108 cm³

Therefore, the volume of the square pyramid is 108 cm³. So, the correct answer is 108 cm³.

8. Since there is no diagram provided for the given cone, we cannot determine its volume without the radius or height of the cone. Please provide the necessary information to calculate the volume.

9. To find the volume of a cone, we use the formula V = (1/3) * π * r² * h, where r is the radius of the base and h is the height of the cone. Given that the radius is 10 mm and the height is 6 mm, we can substitute these values into the volume formula:

V = (1/3) * 3.14 * 10² * 6 ≈ 628 mm³

Therefore, the volume of the cone is approximately 628 mm³. So, the correct answer is 628 mm³.