Choosing spherical resin feedstock
Choosing spherical resin feedstock
Secondary 2
10 marks
TGM Original Questions
Core stretch
A workshop sells spherical resin feedstock: small diameter 18 cm/$4.00, medium 24 cm/$6.80, and large 28 cm/$9.60. Use \(\pi=3.142\).
- Show that a large sphere has volume \(11496\text{ cm}^3\) to 5 s.f.[2]
- How many complete \(320\text{ cm}^3\) castings can one large sphere supply?[2]
- A cylindrical mould has diameter 8 cm and its fill line is 1.2 cm below the rim. Find the mould height to 2 d.p.[2]
- A $100 budget must supply resin for 250 castings.
- Determine the best value by volume per dollar.[2]
- Decide whether the budget suffices, ignoring waste.[2]
Solution:
Solution locked
680+ questions here come with free worked solutions. A free account saves your questions and progress; this one needs a course plan.
Create a free account to practise similar questions.
Answer:(a) \(11496\text{ cm}^3\) (b)(i) \(35\) castings (ii) \(7.57\) cm (c)(i) large (ii) yes—7 large spheres cost \(\$67.20\).
Need help? Join our E-Maths tuition for O-Level success.
Learn more