find the volume of the cylinder with a slant of 8 cm a diameter of 3 cm and a height of 6 cm
Wrong that isn’t an answer
find the volume of the cylinder with a slant of 8 cm a diameter of 3 cm and a height of 6 cm
A) 226.08 cubic centimeters
B) 169.56 cubic centimeters
C) 339.12 cubic centimeters
D) 678.24 cubic centimeters
find the volume of the cylinder with a slant of 8 cm a length of 3 cm and a height of 6 cm
To find the volume of the cylinder, we need to use the formula:
Volume = π * r² * h
Given the length (diameter) of 3 cm, the radius (r) can be calculated as half of the length:
r = 3 cm / 2 = 1.5 cm
The height of the cylinder is given as 6 cm.
Now, we need to find the slant height (l) of the cylinder. Since the slant, radius, and height form a right-angled triangle, we can use the Pythagorean theorem:
l² = r² + h²
l² = (1.5 cm)² + 6²
l² = 2.25 cm² + 36 cm²
l² = 38.25 cm² + 1296 cm²
l² = 1334.25 cm²
Taking the square root of both sides, we find:
l ≈ √1334.25
l ≈ 36.52 cm
Now we can substitute the values into the volume formula:
Volume = π * r² * h
Volume = π * (1.5 cm)² * 6 cm
Volume ≈ 3.14 * 2.25 cm² * 6 cm
Volume ≈ 42.39 cm³
The volume of the cylinder is approximately 42.39 cubic centimeters.
Therefore, the correct answer is not among the options provided.
find the volume of the cylinder with a slant of 8 cm a radius of 3 cm and a height of 6 cm
A) 226.08 cubic centimeters
B) 169.56 cubic centimeters
C) 339.12 cubic centimeters
D) 678.24 cubic centimeters
To find the volume of the cylinder, we need to use the formula:
Volume = πr²h
Given the radius (r) of 3 cm and the height (h) of 6 cm, we can substitute these values into the formula:
Volume = π(3cm)²(6cm)
Volume = π * 9cm² * 6cm
Volume = 54π cm³
Approximating π to 3.14, we can calculate the volume:
Volume ≈ 54 * 3.14 cm³
Volume ≈ 169.56 cm³
Therefore, the correct answer is B) 169.56 cubic centimeters.
A jar of peanut butter has a height of 16 centimeters and a width of 10 centimeters find the volume of the peanut butter jar
To find the volume of the cylinder, we need to use the formula:
Volume = πr²h
Given the diameter of 3 cm, the radius (r) can be calculated as half of the diameter:
r = 3 cm / 2 = 1.5 cm
Therefore, the radius of the cylinder is 1.5 cm.
The height of the cylinder is given as 6 cm.
Now, to find the slant height (l), we can use the Pythagorean theorem, as the slant, radius, and height form a right-angled triangle, with the slant as the hypotenuse:
l² = r² + h²
l² = 1.5² + 6²
l² = 2.25 + 36
l² = 38.25
Taking the square root of both sides, we find:
l ≈ √38.25
l ≈ 6.19 cm
Now we can substitute the values into the volume formula:
Volume = πr²h
Volume = π(1.5 cm)²(6 cm)
Volume ≈ 3.14 * 2.25 cm² * 6 cm
Volume ≈ 42.39 cm³
Therefore, the volume of the cylinder is approximately 42.39 cubic centimeters.
Apologies for the mistake. Let's calculate the volume again.
The slant height (l) of the cylinder can be found using the Pythagorean theorem:
l² = r² + h²
l² = 1.5² + 6²
l² = 2.25 + 36
l² = 38.25
Taking the square root of both sides, we find:
l ≈ √38.25
l ≈ 6.19 cm
Now, substituting the values into the volume formula:
Volume = πr²h
Volume = π * (1.5 cm)² * 6 cm
Volume ≈ 3.14 * 2.25 cm² * 6 cm
Volume ≈ 42.39 cm³
My previous response was correct, and the volume of the cylinder is approximately 42.39 cubic centimeters. I apologize for any confusion caused.
To find the volume of the cylinder, we need to use the formula:
Volume = π * r² * h
Given the diameter of 3 cm, the radius (r) can be calculated as half of the diameter:
r = 3 cm / 2 = 1.5 cm
Therefore, the radius of the cylinder is 1.5 cm.
The height of the cylinder is given as 6 cm.
Now, we need to find the slant height (l) of the cylinder. Since the slant, radius, and height form a right-angled triangle, we can use the Pythagorean theorem:
l² = r² + h²
l² = (1.5 cm)² + 6²
l² = 2.25 cm² + 36 cm²
l² = 38.25 cm² + 1296 cm²
l² = 1334.25 cm²
Taking the square root of both sides, we find:
l ≈ √1334.25
l ≈ 36.52 cm
Now we can substitute the values into the volume formula:
Volume = π * r² * h
Volume = π * (1.5 cm)² * 6 cm
Volume ≈ 3.14 * 2.25 cm² * 6 cm
Volume ≈ 42.39 cm³
The volume of the cylinder is approximately 42.39 cubic centimeters.
Therefore, the correct answer is not among the options provided.