The volume of cone is calculated by the formula

, where H is a height of cone and R is a radius of the bottom.
In your case, R=3 cm and R=7 cm. Then

.
Answer: The volume of candy is 21π.
Answer:


Step-by-step explanation:
The sum of the interior angles of a triangle is 180 degrees.




Use the exterior angles theorem to find y.
The exterior angle y is the sum of the two remote interior angles:
The sum of angles on a straight line is 180 degrees.



Answer:
Part A:
m∠VHT = 152°
Part B:
m∠QTS = 152°
Part C:
m∠ZHQ = 28°.
Step-by-step explanation:
Part A:
The given parameters are;
m∠HXU = 113°
Segment BQ and segment UD intersect at m∠XAT = 95°
We have that m∠HXU + m∠HXS = 180° (Angles on a straight line)
Therefore;
m∠HXU = 180° - m∠HXS = 180° - 113° = 67°
m∠HXU = 67°
m∠XAT + m∠XAH = 180° (Angles on a straight line)
m∠XAH = 180° - m∠XAT = 180° - 95° = 85°
m∠XAH = 85°
In triangle XAH, we have;
m∠XAH + m∠HXU + m∠XHA = 180° (Angle sum property of a triangle)
∴ m∠XHA = 180° - (m∠XAH + m∠HXU) = 180° - (85° + 67°) = 28°
m∠XHA = 28°
m∠VHT + m∠XHA = 180° (Angles on a straight line)
m∠VHT = 180° - m∠XHA = 180° - 28° = 152°
m∠VHT = 152°
Part B:
m∠QTS ≅ m∠VHT (Corresponding angles are congruent)
∴ m∠QTS = 152° (Substitution property)
Part C:
m∠ZHQ ≅ m∠XHA (Reflexive property)
∴ m∠ZHQ = 28°.
Y=6x+6 !! enjoy your dayy
Answer:
The surface area of the composite figure is 1108 square inches.
Step-by-step explanation:
The surface area of the composite figure (
) is equal to the sum of external faces of the rectangular and triangular prisms, all measured in square inches:


The surface area of the composite figure is 1108 square inches.