12. Find the volume of the cylinder in terms of pi. The diagrams are not drawn to scale. h=8 in. and r=4 in.
~256 pi in.3
~128 pi in.3 *****
~64 pi in.3
~32 pi in.3
14. What is the volume of the composite space figure to the nearest whole number? The figure is not drawn to scale. 3cm,8cm,2cm,5cm,6cm
~210 cm3
~180 cm3
~120 cm3
~60 cm3 *****
17. A rectangular pyramid fits exactly on top of a rectangular prism. The prism has a length of 15 cm, a width of 5cm, and a height of 7cm. The pyramid has a height of 13cm. Find the volume of the composite space figure.
~1,500 cm3
~500 cm3
~975 cm3 *****
~850 cm3
18. Radius of 60 m
~3,600 pi m2 *****
~7,200 pi m2
~10,800 pi m2
~14,400 pi m2
19.A spherical balloon has a circumference of 19cm. What is the approximate surface area of the balloon to the nearest sqaure centimeter?
~115 cm2
~460 cm2 ****
~361 cm2
~1,134 cm2
20. What is the volume of the sphere? Round the answer to the nearest cubic unit. 16cm
~268 cm3
~2,145 cm3
~17,157 cm3
~536 cm3 *******
21. The volume of a sphere is 3,000 pi m3. What is the surface area of the sphere to the nearest square meter?
~688 m2
~1,079 m2 ******
~2,158 m2
~3,167 m2
24. What is the scale factor of a cube with volume 343 ft.3 to a cube with volume 2,744 ft.3?
~49:196 ****
~1:2
~2:1
~1:8
28. Concrete can be purchased by the cubic yard. How much will it cost to pour a slab 15 feet by 15 feet by 3 inches for a patio if the concrete costs $46.00 per cubic yard?
~$431.25
~$2587.50
~$95.83 ******
~$2875.50
30. What is the volume of a square pyramid with base edges of 40 cm and a slant height of 25 cm?
~533.3 cm3 *****
~8,000 cm3
~12,000 cm3
~24,000 cm3
31. What is the slant height of the cone to the nearest whole number? The figure is not drawn to scale. 17m, 9m
~2,304 cm3
~4,608 cm3
~6,912 cm3
~13,824 cm3 ******
32. What is the maximum volume of a square pyramid that can fit inside a cube with a side length of 24 cm?
~2,304 cm3 ******
~4,608 cm3
~6,912 cm3
~13,824 cm3
need someone to check my answers and to help me if they are wrong
Sure, I'd be happy to check your answers for you! Let's go through each question one by one:
12. Find the volume of the cylinder in terms of pi. The diagrams are not drawn to scale. h=8 in. and r=4 in.
Correct answer: ~128 pi in.3
14. What is the volume of the composite space figure to the nearest whole number? The figure is not drawn to scale. 3cm,8cm,2cm,5cm,6cm
Correct answer: ~210 cm3
17. A rectangular pyramid fits exactly on top of a rectangular prism. The prism has a length of 15 cm, a width of 5cm, and a height of 7cm. The pyramid has a height of 13cm. Find the volume of the composite space figure.
Correct answer: ~975 cm3
18. Radius of 60 m
Correct answer: ~10,800 pi m2
19. A spherical balloon has a circumference of 19cm. What is the approximate surface area of the balloon to the nearest square centimeter?
Correct answer: ~361 cm2
20. What is the volume of the sphere? Round the answer to the nearest cubic unit. 16cm
Correct answer: ~17,157 cm3
21. The volume of a sphere is 3,000 pi m3. What is the surface area of the sphere to the nearest square meter?
Correct answer: ~1,079 m2
24. What is the scale factor of a cube with volume 343 ft.3 to a cube with volume 2,744 ft.3?
Correct answer: ~1:8
28. Concrete can be purchased by the cubic yard. How much will it cost to pour a slab 15 feet by 15 feet by 3 inches for a patio if the concrete costs $46.00 per cubic yard?
Correct answer: ~$2875.50
30. What is the volume of a square pyramid with base edges of 40 cm and a slant height of 25 cm?
Correct answer: ~8,000 cm3
31. What is the slant height of the cone to the nearest whole number? The figure is not drawn to scale. 17m, 9m
Correct answer: ~13,824 cm3
32. What is the maximum volume of a square pyramid that can fit inside a cube with a side length of 24 cm?
Correct answer: ~13,824 cm3
Let me know if you have any other questions!
Sure! I can help you check your answers. Here are the correct answers for the questions you provided:
12. Find the volume of the cylinder in terms of pi. The diagrams are not drawn to scale. h = 8 in. and r = 4 in.
Correct answer: ~128 pi in.3
14. What is the volume of the composite space figure to the nearest whole number? The figure is not drawn to scale. 3cm, 8cm, 2cm, 5cm, 6cm
Correct answer: ~180 cm3
17. A rectangular pyramid fits exactly on top of a rectangular prism. The prism has a length of 15 cm, a width of 5cm, and a height of 7cm. The pyramid has a height of 13cm. Find the volume of the composite space figure.
Correct answer: ~975 cm3
18. Radius of 60 m
Correct answer: ~7,200 pi m2
19. A spherical balloon has a circumference of 19cm. What is the approximate surface area of the balloon to the nearest square centimeter?
Correct answer: ~361 cm2
20. What is the volume of the sphere? Round the answer to the nearest cubic unit. 16cm
Correct answer: ~17,157 cm3
21. The volume of a sphere is 3,000 pi m3. What is the surface area of the sphere to the nearest square meter?
Correct answer: ~2,158 m2
24. What is the scale factor of a cube with volume 343 ft.3 to a cube with volume 2,744 ft.3?
Correct answer: ~1:8
28. Concrete can be purchased by the cubic yard. How much will it cost to pour a slab 15 feet by 15 feet by 3 inches for a patio if the concrete costs $46.00 per cubic yard?
Correct answer: ~$95.83
30. What is the volume of a square pyramid with base edges of 40 cm and a slant height of 25 cm?
Correct answer: ~8,000 cm3
31. What is the slant height of the cone to the nearest whole number? The figure is not drawn to scale. 17m, 9m
Correct answer: ~13,824 cm3
32. What is the maximum volume of a square pyramid that can fit inside a cube with a side length of 24 cm?
Correct answer: ~2,304 cm3
Please note that the answers may vary slightly due to rounding. Let me know if you need help with anything else!
Sure, I can help you check your answers and explain how to solve these problems if needed. Let's go through each question one by one:
12. To find the volume of a cylinder, you can use the formula V = πr²h, where r is the radius and h is the height. Given that h = 8 in. and r = 4 in., we can substitute these values into the formula:
V = π(4²)(8)
V = π(16)(8)
V = 128π in.³
So, the correct answer is ~128π in.³
14. Since the figure is composite, we need to find the volume of each individual shape and then add them together. From the dimensions given, it seems that we have a rectangular prism and a rectangular pyramid. To find the volume of the prism, use the formula V = lwh, where l is the length, w is the width, and h is the height. Substituting the values, we get:
V_prism = (3)(8)(2)
V_prism = 48 cm³
To find the volume of the pyramid, use the formula V = (1/3)Bh, where B is the base area and h is the height. The base of the pyramid seems to be a rectangle with dimensions 5 cm and 6 cm, so the base area is 5 * 6 = 30 cm²:
V_pyramid = (1/3)(30)(5)
V_pyramid = 50 cm³
Finally, add the volumes of the prism and pyramid to get the total volume:
V_total = V_prism + V_pyramid
V_total = 48 + 50
V_total = 98 cm³
So, the correct answer is ~98 cm³ (option ~60 cm³ is incorrect).
17. The volume of the composite space figure can be found by adding the volumes of the rectangular prism and the rectangular pyramid. The formula for the volume of a rectangular prism is V = lwh, where l is length, w is the width, and h is the height. Substituting the given values:
V_prism = (15)(5)(7)
V_prism = 525 cm³
The formula for the volume of a pyramid is V = (1/3)Bh, where B is the base area and h is the height. The base of the pyramid is the same as the prism, so the base area is 15 * 5 = 75 cm²:
V_pyramid = (1/3)(75)(13)
V_pyramid = 325 cm³
Finally, add the volumes of the prism and pyramid to get the total volume:
V_total = V_prism + V_pyramid
V_total = 525 + 325
V_total = 850 cm³
So, the correct answer is ~850 cm³.
I will continue with the rest of the questions in the next response.
12. correct
14. can't tell what shape you have
17. NO
18. correct, if I assume you are finding area. Did not say
19. NO
20. is 16 the radius or the diameter? Either way your answer does not match
either case.
21. NO
24. NO, the ratio of sides of similar solids equals the ration of the cube root of their volumes
25. correct
30. NO
31. no figure, can't tell
32. NO
Wow, looks like some serious study ahead and learning
the formulas.