Find the volume of the following spheres. Round your answers to two decimal places.
If the radius of a sphere doubles, what happens to its volume?
Find the volume of a bowling ball with radius of 10.9 \text{ cm}. Round your answer to three decimal places.
A student was calculating the volume of the sphere shown.
The working is given below:
\begin{aligned} &\text{Step } 1 & V & = \dfrac{4}{3}\pi \times 5^3\\ &\text{Step } 2 & & = \dfrac{500}{3}\pi\\ &\text{Step } 3 & & \approx 523.60 \text{ mm}^3 \end{aligned}Explain what mistake the student made, and find the actual volume of the sphere to two decimal places.
Find the radius, r, of the following spheres. Round your answers to two decimal places.
A sphere with a volume of 72 \pi \text{ cm}^{3}
A ball with a volume of 24\,449.024 \text{ units}^3
Find the volume of the following hemisphere. Round your answer to three decimal places.
Consider the following hemisphere:
Find the volume of the hemisphere in cubic centimetres. Round your answer to three decimal places.
Find its capacity in litres.
Find the volume of the following solid. Round your answer to two decimal places.
The planet Mars has a radius of 3400 \text{ km}. Find the volume of Mars. Express your answer in scientific notation to three decimal places.
The planet Jupiter has a radius of 69\,911 km, and planet Mercury has a radius of 2440 km. How many times bigger is the volume of Jupiter than Mercury? Assume that both planets are spheres. Round your answer to one decimal place.
A scoop of ice cream is spherical and contains 90 \text{ mL} of ice cream. Find the diameter, d, of the ice cream in millimetres.
A lead bar with length of 6 \text{ cm}, width of 4 \text{ cm}, and thickness of 2 \text{ cm} is melted down and made into 25 equally sized balls. Find the radius, r, of each ball in centimetres. Round your answer to two decimal places.
How many whole lead balls with a diameter of 0.5 \text{ cm} can be cast out of a lead ball with a diameter of 10 \text{ cm}? Assume there is no wastage.
How many cubic centimetres of gas are necessary to inflate a spherical balloon to a diameter of 60 \text{ cm}?
Copper weighs approximately 9 \text{ g/cm}^{3}. Find the mass of 8 solid spheres of copper having a diameter of 16 \text{ cm}.
Water in a cylindrical vase reaches a height of 22\text{ cm}. Bianca pours this water into a new spherical vase. If both vases have a radius of 17\text{ cm}, how much space will be left empty in the spherical vase once the water is poured into it? Round your answer to one decimal place.
Three spheres of radius 4 \text{ cm} fit perfectly inside a tube so that the height of the three spheres is equal to the height of the tube, and each ball touches the cylinder wall.
Find the volume of the three spheres, in cubic centimetres. Round your answer to one decimal place.
Find the volume of the cylinder in cubic centimetres. Round your answer to one decimal place.
Find the percentage of the tube that is not filled. Round your answer to the nearest whole number percentage.
