LT-1 find the volume of the second picture using the volume of the first given. the given solid figures have the same base and heigth
1. the volume of the cylinder is 78 cubic cm,find the volume of the cone.
2. the volume of the pyramid is 36 cubic cm,find the volume of a prism.
3. the volume of the cylinder is 198m³, find the volume of the given sphere.
4. the volume of the sphere is 67.5m³, find the volume of a cylinder wiht the same base and height.
the volume of pyramid is 45.5m³, find the volume of a prism with same base and height.
Answers & Comments
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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