Answer:

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> 14.66 Cm

> 14.66 Cm

Explain:

• Number 1

In the question, we've already been given the values for the volume and height of the cone, so we can solve the formula for finding the radius:

→ 6570 cm³ = 1/3 * π * r^2 * 32 cm

Multiplying both sides by 3/π, we get:

→ r^2 = 6570 cm³ / (32 cm * 3/π)

→ r^2 = 6570 cm³ / (96/π)

→ r^2 = 6570 cm³ * π / 96

→ r^2 ≈ 214.68

r^2 ≈ 214.68Then the radius of the cone is the root of 214.68, namely:

→ r ≈ 14.66 cm

r ≈ 14.66 cm

So, the radius of the cone is about 14.66 cm. ✓

• Number 2

To find the radius of a cone with known volume (V) and height (t), we can use the formula:

→ V = 1/3 * π * r^2 * t

V = 1/3 * π * r^2 * twhere r is the radius of the cone.

In the question, the values of V and t are known, namely V = 6570 cm³ and t = 32 cm. Then we can find the radius in the following way:

→ 6570 cm³ = 1/3 * π * r^2 * 32 cm

→ r^2 = 6570 cm³ * 3 / (32 cm * π)

→ r^2 = 214.68

→ r ≈ √214.68

→ r ≈ 14.66 cm

So, the radius of the cone is about 14.66 cm. ✓

• 7 March 2023