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2 years ago

Find the total surface area of the following cone. Leave your answer in terms of Pi. 4cm 3cm

Mathematics

1 answer:

castortr0y [4]2 years ago

5 0

The triangle formed from the height of the cone and the radius of its base is a special 3,4,5 triangle. The slant height is 5cm.

Recall that the area of a circle = pi*r^2

Substitute 3 in for r

Area = pi * (3)^2 = 9pi

SA = pi*r*l + B

Substitute our values into the equation

SA = pi * 3 * 5 + 9pi

SA = 15pi + 9pi

SA = 24pi cm^2

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3 years ago

Manuel pays $ 500 per year fees to his homeowner's association. Next year, the association is increasing its fee by 5%

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3 years ago

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3 years ago

The area of circle B is 121 times greater than the area of circle A. The radius of circle B is 44. What is the radius of circle

xxMikexx [17]

Formula:
$\bigg( \dfrac{radius_1}{radius_2} \bigg)^2 = \dfrac{area_1}{area_2}$

Plug in the values:
$\bigg( \dfrac{r}{44} \bigg)^2 = \dfrac{1}{121}$

Simplify LHS:
$\dfrac{r^2}{1936} = \dfrac{1}{121}$

Multiply by 1936 on both sides:
$r^2 = \dfrac{1936}{121}
$

Simplify RHS:
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Square root both sides:
$r = 4$

Answer: The radius is 4 units. (Answer B)

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3 years ago