Answer: 113.04 cm^3
Step-by-step explanation:
The surface area of a cube is:
S = 6*L^2
then:
216 = 6*L^2
216/6 = L^2
L = √(36) = 6
So the length of the side of this square is L = 6cm
Then the diameter of the sphere is also 6 cm, and the radius is half the diameter, so the radius is 3cm.
Now the volume of a sphere is:
V = (4/3)*pi*r^3 = (4/3)*3.14*3^3 = 113.04 cm^3
Answer:
247.50 is your answer for your question
Answer:
Step-by-step explanation:
SInce the sentence reads "Nine subtracted from..." start by creating the quantity that 9 would be subtracted from, to make the expression more obvious. So let's begin by making the product of 6 times a "number" (unknown value) and use for the unknown the letter "b" as requested:
. Now proceed to subtract 9 from this expression:
The sentence now continues saying that this expression is at most -16. So we understand that the quantity we created above has to be smaller or at most equal to -16. Therefore, we use the inequality symbol "
" to complete the sentence in mathematical terms:
Just add them together we get 6n.
Answer:
<u>Given:</u>
- DC ║ AB
- CM = MB as M is midpoint of BC
i) <u>Since DN and BC are transversals, we have:</u>
- ∠DCM ≅ ∠NBM and
- ∠CDM ≅ ∠BNM as alternate interior angles
<u>As two angles and one side is congruent, the triangles are also congruent:</u>
- ΔDCM ≅ ΔNBM (according to AAC postulate)
So their areas are same.
ii)
<u>The quadrilateral has area of:</u>
- A(ADCB) = A(ADMB) + A(DCM)
<u>And the triangle has area of:</u>
- A(ADN) = A(ADMB) + A(NBM)
Since the areas of triangles DCM and NBM are same, the quadrilateral ADCB has same area as triangle ADN.
