Answer the following
2. A hemisphere and a cone are both made from the same material. Thecone has a base diameter of 8 cm and a perpendicular height of 6 cm. The hemisphere has a diameter of 7 cm. Which solid weighs more?
3. A cylindrical soft drinks can is 15 centimetres in height and 6.5 centimetres in diameter. A new cylindrical can holds the same volume but has a reduced height of 12 centimetres. What is the height of the new can ? Give your answer to 1 decimal place
- Find the volume of the following shapes.
2. A hemisphere and a cone are both made from the same material. Thecone has a base diameter of 8 cm and a perpendicular height of 6 cm. The hemisphere has a diameter of 7 cm. Which solid weighs more?
3. A cylindrical soft drinks can is 15 centimetres in height and 6.5 centimetres in diameter. A new cylindrical can holds the same volume but has a reduced height of 12 centimetres. What is the height of the new can ? Give your answer to 1 decimal place
4. A sphere has a volume of 80 cm3. Find the radius of the sphere
5. A metal cylinder has diameter 4·8 cm and a height of 8·3 cm. 75 identical
cylinders are melted down to make a single sphere. Calculate the diameter
of the sphere.
6. Gold has a density of 19·3 g/cm3. A gold ring has a volume of 1·1 cm3.
Find the mass of the gold ring
7.
8. A cylindrical bucket has a diameter of 30 cm and a height of 35 cm.
How many full bucket loads of water are needed to fill up the cuboid shaped tank?
9. A sphere has a surface area of 480 cm2. Calculate its diameter
10. A cone is attached to a cylinder of diameter 15 cm as shown. The perpendicular heights of the cylinder and the cone are both equal to the diameter of the cylinder. Find the total surface area of the combined solid.
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5. A metal cylinder has diameter 4·8 cm and a height of 8·3 cm. 75 identical
cylinders are melted down to make a single sphere. Calculate the diameter
of the sphere.
6. Gold has a density of 19·3 g/cm3. A gold ring has a volume of 1·1 cm3.
Find the mass of the gold ring
7.
8. A cylindrical bucket has a diameter of 30 cm and a height of 35 cm.
How many full bucket loads of water are needed to fill up the cuboid shaped tank?
9. A sphere has a surface area of 480 cm2. Calculate its diameter
10. A cone is attached to a cylinder of diameter 15 cm as shown. The perpendicular heights of the cylinder and the cone are both equal to the diameter of the cylinder. Find the total surface area of the combined solid.
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