1. The volume of the cylinder is 78 cubic cm, find the volume of the cone.
26 cm³
The volume of cylinder V=sh= 78cm³ so the volume of cone V'= ⅓ sh=⅓ 78=26cm³
2. The volume of the pyramid is 36 cubic cm, find the volume of the prism.
Volume of pyramid = (1/3) * Base area * height .
Volume of pyramid = (1/3) * Base area * height .Volume of prism = Base area * height .
So,
Volume of pyramid = 36 cm³
(1/3) * Base area * height = 36
Base area * height = 36 * 3
Base area * height = 108 cm³.
Then,
Volume of prism = Base area * height .
Volume of prism = 108 cm³ (Answer)
3. The Volume of the cylinder is 198m, find the volume of the given sphere.
V=198 x 3= 594m2
4. The volume of the sphere is 67.5m, find the volume of a cylinder with the same base and height. The volume of the pyramid is 45.5ms find the volume of a prism with same base and height.
Answers & Comments
Answer:
1. The volume of the cylinder is 78 cubic cm, find the volume of the cone.
26 cm³
The volume of cylinder V=sh= 78cm³ so the volume of cone V'= ⅓ sh=⅓ 78=26cm³
2. The volume of the pyramid is 36 cubic cm, find the volume of the prism.
Volume of pyramid = (1/3) * Base area * height .
Volume of pyramid = (1/3) * Base area * height .Volume of prism = Base area * height .
So,
Volume of pyramid = 36 cm³
(1/3) * Base area * height = 36
Base area * height = 36 * 3
Base area * height = 108 cm³.
Then,
Volume of prism = Base area * height .
Volume of prism = 108 cm³ (Answer)
3. The Volume of the cylinder is 198m, find the volume of the given sphere.
V=198 x 3= 594m2
4. The volume of the sphere is 67.5m, find the volume of a cylinder with the same base and height. The volume of the pyramid is 45.5ms find the volume of a prism with same base and height.
3071.5
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Answer:
To solve this expression, we need to apply the distributive property of multiplication over addition/subtraction. Here are the steps:
1. Distribute the 180° to both terms inside the parenthesis:
180° * 20° - 180° * 3x
Multiply each term:
3600° - 540x
Therefore, the simplified expression is 3600° - 540x.
Step-by-step explanation:
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