<span> By definition, the volume of a cone is given by:
</span>
<span> Where,
r: radius of the circular base of the cone.
h: cone height
The cone radius is given by:
</span>
<span> Where,
d: diameter of the circular base.
Substituting values we have:
</span>
<span>
Then, the volume will be:
</span>
<span>
Answer:
The volume of the cone is given by:
</span>
<span>
</span>
Answer:
5/21
Step-by-step explanation:
1. 5/7 divided by 3 is the same as 5/7 divided by 3/1
2. when dividing a fraction, multiply by the reciprocal, so it would be 5/7 times 1/3
3. multiply the numerator and denominators, so 5x1 and 3x7
4. the answer is 5/21
hope this helped!
Answer:
(- 1, 1) and (- 5, - 35)
Step-by-step explanation:
since both equations express y in terms of x, equate the right sides
x² + 15x + 15 = - x² + 3x + 5 ( subtract - x² + 3x + 5 from both sides )
2x² + 12x + 10 = 0 ( divide all terms by 2 )
x² + 6x + 5 = 0 ← in standard form
(x + 1)(x + 5) = 0 ← in factored form
equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
x + 5 = 0 ⇒ x = - 5
substitute these values into either of the 2 equations and solve for y
x = - 1 : y = (- 1)² + 15(- 1) + 15 = 1 - 15 + 15 = 1 ⇒ (- 1, 1 )
x = - 5 : y = (- 5)² + 15(- 5) + 15 = 25 - 75 + 15 = - 35 ⇒ (- 5, - 35 )
None of the given options
The more digits you have the bigger the number, unless you have a long decimal, and in that case only is the number smaller in value.
