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Setler79 [48]
3 years ago
5

How many cubic centimeters of water can this paper cone cup hold?

Mathematics
1 answer:
RUDIKE [14]3 years ago
8 0
By definition, the volume of a cone is given by:
 V = (1/3) * (pi) * (r ^ 2) * (h)
 Where,
 r: cone radius
 h: height of the cone
 Substituting values:
 V = (1/3) * (3.14) * ((8/2) ^ 2) * (9)
 V = 150.72 cm ^ 3

 Answer:
 this paper cone cup can hold:
 
V = 150.72 cm ^ 3
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Answer:

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Step-by-step explanation:

step 1

Find the measure of side c

Applying the law of cosines

c^{2}= a^{2}+b^{2}-2(a)(b)cos(C)

substitute the given values

c^{2}= 74^{2}+11^{2}-2(74)(11)cos(98\°)

c^{2}=5,823.5738

c=76.3\ units

step 2

Find the measure of angle A

Applying the law of sine

\frac{a}{sin(A)}=\frac{c}{sin(C)}

substitute the given values

\frac{74}{sin(A)}=\frac{76.3}{sin(98\°)}

sin(A)=(74)sin(98\°)/76.3

A=arcsin((74)sin(98\°)/76.3)

A=73.8\°

step 3

Find the measure of angle B

we know that

The sum of the internal angles of a triangle must be equal to 180 degrees

so

A+B+C=180\°

substitute the given values

73.8\°+B+98\°=180\°

171.8\°+B=180\°

B=180\°-171.8\°=8.2\°

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