Year 11
Higher
Surface Area: Further problem solving
Year 11
Higher
Surface Area: Further problem solving
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Lesson details
Key learning points
- In this lesson, we will further our problem solving with surface area of spheres, cones and pyramids. In these more complicated examples we will, for example, deduce measures of length when provided with the surface area.
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3 Questions
Q1.
Which shape shows a frustum?
B
Q2.
Work out the volume of the frustum. Round your answer to 1 decimal place.
188.5 cm³
636.7 cm³
695.3 cm³
Q3.
Work out the volume of the frustum. Round your answer to 1 decimal place.
106.7 cm³
320 cm³
5120 cm³
3 Questions
Q1.
Work out the slant height of this cone.
12 cm
25 cm
7 cm
Q2.
For the cone in question 1, work out the surface area and choose which is the correct answer in terms of pi.
B
C
D
Q3.
The diagram shows a sphere and a cube.The surface area of the cube is equal to the surface area of the sphere. Work out the radius of the sphere rounded to 1 decimal place.
1.7 cm
17.2 cm
295.5 cm