Higher
Surface area and volume of a hemisphere
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Lesson details
Key learning points
- In this lesson, we will learn how to find the surface area and volume of a hemisphere.
Licence
This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.
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2 Questions
Q1.
1
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707208288%2Fz5x2oxh2sbegz6dos34t.jpg&w=640&q=75)
A
C
Q2.
2
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707208290%2Fmkjmh8kznrwnmaexuwvo.jpg&w=640&q=75)
A
C
3 Questions
Q1.
Amy is working out the volume of this hemisphere. What mistake has Amy made?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707207899%2Fsbrficopb7unlkkgjfc7.png&w=640&q=75)
Amy has not halved the volume of the sphere.
Amy has not used the correct formula for volume.
Q2.
Work out the total surface area for this hemisphere rounded to 1 decimal place.
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707207913%2Fnrzlvaoxvw8xolchkuh2.png&w=1920&q=75)
1005.3 cm²
402.1 cm²
804.2 cm²
Q3.
Work out the volume of this hemisphere rounded to 1 decimal place.
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707207921%2Fpzhomdiqi2tmiw8drlxi.png&w=1920&q=75)
134.0 cm³
2144.7 cm³
8578.6 cm³