Question

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Answer 1

1) a) 12.56 cm²

b) 113.04 cm²

c) 50.24 cm²

2) a) 401.92 cm³

b) 1099 cm³

Explanation:

Area of a circle = pi × r²

a) 3.14 × 2²

= 12.56 cm²

b) 3.14 × 6²

= 113.04 cm²

c) 3.14 × (8/2)²

= 50.24 cm²

Volume of cylinder = pi × r² × h

a) 3.14 × 4² ÷ 8

401.92 cm³

b) 3.14 × (10/2)² × 14

1099 cm³

Answer 2

Answers and Step-by-step explanations:

The area of a circle is denoted by:
`A=\pi r^2`, where r is the radius.

1.

(a) Here, the radius is r = 2, so:
`A=\pi r^2=\pi *2^2=4\pi` ≈ 12.57 cm squared

(b) Here, the radius is r = 6, so:
`A=\pi r^2=\pi *6^2=36\pi` ≈ 113.10 cm squared

(c) Here, the radius is r = 8, so:
`A=\pi r^2=\pi *8^2=64\pi` ≈ 201.06 cm squared

The volume of a cylinder is denoted by:
`V=\pi r^2h`, where r is the radius and h is the height.

2.

(a) Here the radius is r = 4 and the height is h = 8, so:
`V=\pi r^2h=\pi *4^2*8=128\pi` ≈ 402.12 cm cubed

(b) Here, the diameter is 10, so since the radius is half of the diameter, the radius is r = 5 and the height is h = 14, so:
`V=\pi r^2h=\pi *5^2*14=350\pi` ≈ 1099.56 cm cubed.

Hope this helps!