Find the volume of the cone. Use 3.14 for n. Round to the nearest tenth.

Mathematics

1 answer:

enyata [817]2 years ago

7 0

Answer:

$1590.6cm {}^{3}$

Step-by-step explanation:

$volume \: of \: a \: cone \: v = \frac{1}{3}\pi \: r {}^{2} h \\ radius = \frac{diameter}{2} = \frac{15}{2} = 7.5 \\ v = \frac{1}{3} \times 3.42 \times (7.5) {}^{2} \times 27 \\ v = \frac{3.142 \times 7.5 \times 7.5 \times 27}{3} \\ v = \frac{4771.9125}{3} = 1590.6375 \\ v = 1590.6cm {}^{3} (approximatly) \\ please \: rate \: and \: mark \: brainliest$

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A regular pentagon has an apothem measuring 20 cm and a perimeter of 145. 3 cm. A rectangular pentagon has an apothem measuring

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The area of the pentagon is 1,453 squared centimeters.

Given information-

The length of the apothem of a regular pentagon is 20 cm.

The measure of the perimeter of a regular pentagon is 145.3 cm.

The length of the apothem of a rectangular pentagon is 20 cm.

The measure of the perimeter of a rectangular pentagon is 145.3 cm.

<h3>Pentagon-</h3>

Pentagon is the closed shaped polygon which has 5 sides. When these 5 sides are equal in length then the pentagon is called teh regular pentagon. When four of the sides of pentagon make a rectangle then the pentagon is called the rectangular pentagon.

<h3>Area of regular pentagon-</h3>

Area of regular pentagon is half of the product of its apothem and perimeter. It can be given as,

$A=\dfrac{1}{2} \times 20\times 145.3\\A=1453$