Answer:

Step-by-step explanation:
According to the problem, calculation of given data are as follows,
Volume of cylindrical vase = 
As, Cone has same height and radius as cylinder, than we can calculate volume of cone by using following formula,
Volume of cone =
× Volume of cylindrical vase
By putting the value, we get
Volume of cone =
× 63
Volume of cone = 
Answer:
Step-by-step explanation:
Length=18
Width/Breadth =10
Height=2
The formula for a diagonal face of a cuboid is=√(l²+ b²)
Face diagonal=√(18²+10²)
= 20.59 to 2.d.p
The formula for the body diagonal of a cuboid is=√(l² + b² + h²)
Body diagonal=√(18² + 10² + 2²)
=20.69 to 2.d.p
P=2(l)+2(w)
90=2(4w-5)+2(w)
90= (8w-10)+2w
90=10w-10
10+90=10w-10+10
100=10w
w=10
90=2(4[10]-5)+2(10)
90=2(40-5)+2(10)
90=2(35)+20
90=70+20
90=90
Correct answer for the above question is - option B. 86°
<u>Step-by-step explanation:</u>
Given:
∠NOP = 24°
∠NOQ = 110°
∠NOP and ∠POQ are adjacent angles
To Find:
∠POQ = ?
Solution:
Hereby, we can say that ∠POQ lies between line OQ and ON as given (∠NOP and ∠POQ are adjacent angles )
∠NOQ - ∠NOP = ∠POQ
∠POQ = 110° - 24°
<u>∠POQ = 86°</u>
Angle POQ is 86°
Thus we can conclude option B as correct answer.
Answer: A) 150 cubic units
V = area of the base <u>times</u> the height of the prism.
(5)(6) = 30
30/2 =15
V = (15)(10)
V = 150 cubic units