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Vsevolod [243]
1 year ago
10

Finally surface area of the solid. use 3.14 for π. write your answer as a decimal.

Mathematics
1 answer:
Sav [38]1 year ago
8 0

To find the total surface area of this cone, we have that the total lateral area is given by the formula:

A_{\text{lateral}}=s\cdot\pi\cdot r

Where

s is the slant height of the cone, s = 12 inches.

r is the radius of the base of the cone, r = 7 inches.

To that area, we need to add the area of the base of the cone:

A_{\text{base}}=\pi\cdot r^2

That is, this is the area of a circle with this radius. Then, the total surface area is:

A_{\text{total}=}s\cdot\pi\cdot r+\pi\cdot r^2

Substituting the values in this formula, we have:

A_{\text{total}}=12in\cdot3.14\cdot7in+\pi\cdot(7in)^2=263.76in^2_{}+153.86in^2

Then

A_{\text{total}}=417.62in^2

Hence, the total area is equal to 417.62 square inches.

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Bas_tet [7]

Answer: C, D, and E

Step-by-step explanation:

200-122=78 remaining

A: 7*11.75= 82.25

B: 10*11.75= 117.50

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5 0
3 years ago
Write an equation of the circle with center (5, -7) and radius 9.
vagabundo [1.1K]

Answer:

(x - 5)² + (y + 7)² = 81

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k) = (5, - 7) and r = 9, thus

(x - 5)² + (y - (- 7))² = 9², that is

(x - 5)² + (y + 7)² = 81 ← equation of circle

6 0
3 years ago
Sal is making bracelets for a fundraiser he uses 6 inches of yarn per bracelet how many bracelets can sal make with 5 feet of ya
4vir4ik [10]

Answer:

10

Step-by-step explanation:

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7 0
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