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Aneli [31]
3 years ago
8

50 POINTS AND I WILL MARK BRAINLIEST Find the volume please help

Mathematics
2 answers:
ANEK [815]3 years ago
8 0

Answer:348

Step-by-step explanation:

For composite prisms, where the bases are a composite shape, the area of the bases is the sum of the areas of the parts it is made of. The volume of the composite prism is then given by multiplying the whole base area by the height of the prism.In math, volume is the amount of space in a certain 3D object. For instance, a fish tank has 3 feet in length, 1 foot in width and two feet in height. To find the volume, you multiply length times width times height, which is 3x1x2, which equals six. So the volume of the fish tank is 6 cubic feet.

Fed [463]3 years ago
3 0

Answer:

1,205.8\:  {ft}^{3}

Step-by-step explanation:

Given object is made up of cylindrical and conical parts.

Fir cylindrical part:

r = 16/2 = 8 ft

h = 4 ft

For conical part:

r = 16/2 = 8 ft

h = 6 ft

Volume of the object = Volume of cylinderical part + Volume of the conical part

= \pi {r}^{2} h +  \frac{1}{3} \pi {r}^{2} h \\  \\  =\pi \times  {8}^{2}  \times 4 +  \frac{1}{3}  \times \pi \times  {8}^{2}  \times 6 \\  \\  = 64\pi \times 4 +  \frac{1}{ \cancel3}  \times 64\pi \times  \cancel6 \\  \\  = 64\pi(4 + 2) \\  \\  = 64\pi \times 6 \\  \\  = 384\pi \\  \\  = 384 \times 3.14 \\  \\  = 1,205.8 \:  {ft}^{3}

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