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V=(1)/(3)pir^(2)h
The formula gives the volume 
V of a right circular cone with radius 
r and height 
h. What is the volume, in cubic meters, of a right circular cone with a radius of 4 meters and a height of 3 meters?
Choose 1 answer:
(A) 
16 pi
(B) 
36 pi
(c) 
48 pi
(D) 
144 pi

V=13πr2h V=\frac{1}{3} \pi r^{2} h \newlineThe formula gives the volume V V of a right circular cone with radius r r and height h h . What is the volume, in cubic meters, of a right circular cone with a radius of 44 meters and a height of 33 meters?\newlineChoose 11 answer:\newline(A) 16π 16 \pi \newline(B) 36π 36 \pi \newline(C) 48π 48 \pi \newline(D) 144π 144 \pi

Full solution

Q. V=13πr2h V=\frac{1}{3} \pi r^{2} h \newlineThe formula gives the volume V V of a right circular cone with radius r r and height h h . What is the volume, in cubic meters, of a right circular cone with a radius of 44 meters and a height of 33 meters?\newlineChoose 11 answer:\newline(A) 16π 16 \pi \newline(B) 36π 36 \pi \newline(C) 48π 48 \pi \newline(D) 144π 144 \pi
  1. Formula for volume of cone: The formula for the volume of a right circular cone is given by V=13πr2h V = \frac{1}{3} \pi r^2 h , where r r is the radius and h h is the height of the cone. We need to substitute the given values of r=4 r = 4 meters and h=3 h = 3 meters into the formula to find the volume V V .
  2. Substitute given values: Substitute the given values into the formula: V=13π(4)2(3) V = \frac{1}{3} \pi (4)^2 (3) .
  3. Calculate radius squared: Calculate the radius squared: (4)2=16 (4)^2 = 16 .
  4. Multiply radius squared by height: Multiply the radius squared by the height: 16×3=48 16 \times 3 = 48 .
  5. Multiply by pi and divide by 33: Multiply by π \pi and divide by 33 to get the volume: V=13×48×π V = \frac{1}{3} \times 48 \times \pi .
  6. Calculate final volume: Calculate the final volume: V=16π V = 16 \pi cubic meters.

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