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Find the surface area of the cone. Leave your answer in terms of A 70 cm^2 . B. 98 cm^2 C. 119 cm^2 D. 129 cm^2

Find the surface area of the cone. Leave your answer in terms of A 70 cm^2 . B. 98 cm-example-1
User Annakay
by
6.1k points

2 Answers

6 votes

Answer:

The correct answer option is C. 119
\pi^2

Explanation:

We are given the radius of the base of the cone and its height and we are to find its surface area.

We know that the surface area of the cone is given by:
\pi rl +\pi r^2

Substituting the given values in the above formula to get:

Surface area of cone =
\pi * 7 * 10 + \pi * 7^2 = 119

User Eisaacson
by
6.4k points
4 votes

Answer: OPTION C (119π cm²)

Explanation:

Yon can use the following formula for calculate the surface area of a cone:


SA=rl\pi+r^2\pi

Where r is the radius and l is the slant height.

Based on the figure shown attached, you have that:


r=7cm\\l=10cm

Therefore, when you susbtitute these values into the formula shown above, you obtain that the surface area of the cone is:


SA=(7cm)(10cm)\pi+(7cm)^2\pi=119\picm²

User Christian Junk
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5.9k points