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Alchen [17]
2 years ago
11

A cone has a radius of 6 inches and a height of 10 inches.

Mathematics
2 answers:
Softa [21]2 years ago
8 0

Answer: Option 'B' is correct.

Step-by-step explanation:

Since we have given that

Radius of cone = 6 inches

Height of cone = 10 inches

We need to find the "volume of cone":

As we know the formula for "Volume of cone":

Volume=\frac{1}{3}\pi r^2h\\\\Volume=\frac{1}{3}\pi \times 6\times 6\times 10\\\\Volume=120\pi\ cm^3

Hence, Exact volume of cone is 120π cm³.

Therefore, Option 'B' is correct.

Mariulka [41]2 years ago
5 0
The volume of a cone:
V=\frac{1}{3} \pi r^2h
r - the radius
h - the height

r=6 \\
h=10 \\ \\
V=\frac{1}{3} \pi \times 6^2 \times 10=\frac{1}{3} \pi \times 36 \times 10=\frac{360}{3} \pi=120\pi

The answer is B. 120π in³.
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Based on the SAS congruence criterion, the statement that best describes Angie's statement is:

Two triangles having two pairs of congruent sides and a pair of congruent angles do not necessarily meet the SAS congruence criterion, therefore Angie is incorrect.

<h3 /><h3>What is congruency?</h3>

The Side-Angle-Side Congruence Theorem (SAS) defines two triangles to be congruent to each other if the included angle and two sides of one is congruent to the included angle and corresponding two sides of the other triangle.

An included angle is found between two sides that are under consideration.

See image attached below that demonstrates two triangles that are congruent by the SAS Congruence Theorem.

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The one pair of corresponding angles that are congruent MUST be "INCLUDED ANGLES".

Therefore, based on the SAS congruence criterion, the statement that best describes Angie's statement is:

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5 0
1 year ago
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3 0
3 years ago
Find the first term and the common ratio <br>third term =6 and seventh term= 96​
mamaluj [8]

Answer:

First term a₁ = 3/2 and common ratio r = 2

Step-by-step explanation:

We need to find the first term and common ratio while we are given third term = 6 and seventh term = 96

Since common ratio is required so, the sequence is geometric sequence

The formula used is: a_n= a_1r^{n-1}

We are given: third term = 6 i,e

a_3=a_1r(3-1)\\6=a_1r^2----eq(1)

Seventh term = 96

a_7=a_1r(7-1)\\96=a_1r^6----eq(2)

Dividing eq(2) and eq(3)

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So, Common Ratio r = 2

Finding First term using eq(1)

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So, First term a₁ = 3/2 and common ratio r = 2

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2 years ago
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