4. Geometry
Area Volume — Quiz
Test your understanding of area volume with 5 practice questions.
Practice Questions
Question 1
A cylindrical tank has a radius of $5$ meters and a height of $12$ meters. If the tank is filled with water to $75\%$ of its capacity, what is the volume of water in the tank?
Question 2
A solid metal sphere with a radius of $6$ cm is melted down and recast into a cylinder with a radius of $3$ cm. What is the height of the cylinder?
Question 3
A rectangular prism has a length of $10$ cm, a width of $8$ cm, and a height of $5$ cm. If the length is increased by $20\%$ and the width is decreased by $25\%$ while the height remains the same, what is the new volume of the prism?
Question 4
A composite shape is made of a rectangle with length $15$ cm and width $8$ cm, and an isosceles triangle attached to one of the $8$ cm sides. The triangle has a height of $6$ cm. What is the total area of the shape?
Question 5
A conical tent has a radius of $7$ meters and a slant height of $25$ meters. What is the volume of the tent?