Volume of a solid cone in standard form and the radius of a sphere cast from the same metal
Volume of a solid cone in standard form and the radius of a sphere cast from the same metal
6 marks
A solid lead cone has a base radius of \(9.4\text{ cm}\) and a vertical height of \(21.5\text{ cm}\).
- Calculate the volume of the cone, giving your answer in the form \(a\times10^k\), where \(1\leq a<10\) and \(k\in\mathbb{Z}\).[3]
All of the lead in the cone is melted and recast, without any loss, into a single solid sphere.
- Calculate the radius of the sphere, correct to \(2\) significant figures.[3]
Solution:
Solution locked
680+ questions here come with free worked solutions. A free account saves your questions and progress; this one needs tuition enrolment.
Create a free account to practise similar questions.
Answer:(a) \(1.99\times10^{3}\text{ cm}^3\) (b) \(7.8\text{ cm}\)
Need help? Join our JC Math tuition classes.
Learn more