Skip to main content
Unit 1Topic 1.1Question BankHL

Mathematics: Applications and Interpretation · Unit 1: Number and Algebra

Operations with numbers and scientific notation

Browse each question and reveal its reviewed answer when you are ready.

14

Questions

79

Total marks

Question 1 of 146 marks

Formula substitution, operations and scientific notation

[Maximum mark: 6]Calculator allowedThe volume of a sphere, VV, is given by the formulaV=S336πV=\sqrt{\frac{S^3}{36\pi}}where SS is the surface area.The surface area of a given sphere is 450 cm2450\text{ cm}^2.(a) Calculate the volume of this sphere in cm3\text{cm}^3.
Give your answer correct to one decimal place.
[3]
(b) Write down your answer to part (a) correct to
the nearest integer
[1]
(c) Write down your answer to part (a) in the form
a×10ka\times10^k, where 1≤a<101\leq a\lt10 and k∈Zk\in\mathbb{Z}
[2]

Like —Save