What is the volume of a cylinder of radius 7 cm and height 12 cm? Ops: A. 1815 cm3 B. 1848 cm3 C. 1903 cm3 D. 1876 cm3
Question
What is the volume of a cylinder of radius 7 cm and height 12 cm?
Ops:
A. 1815 cm3
B. 1848 cm3
C. 1903 cm3
D. 1876 cm3
Solution
The volume of a cylinder can be calculated using the formula V = πr²h, where r is the radius and h is the height.
Step 1: Substitute the given values into the formula. In this case, r = 7 cm and h = 12 cm. So, V = π(7 cm)²(12 cm).
Step 2: Square the radius. (7 cm)² = 49 cm².
Step 3: Multiply the squared radius by the height. 49 cm² * 12 cm = 588 cm³.
Step 4: Multiply the result by π. π * 588 cm³ = 1848 cm³.
So, the volume of the cylinder is 1848 cm³. Therefore, the correct answer is B. 1848 cm³.
Similar Questions
What is the volume of a cylinder with a height of 7.1 ft and a base with a diameter of 12.8 ft, to the nearest tenth of a cubic foot?
What is the volume of a cylinder, in cubic cm, with a height of 7cm and a base diameter of 10cm? Round to the nearest tenths place
What is the volume, in cubic inches, of a cylinder with a height of 14 inches and a base radius of 10 inches, to the nearest tenths place?
What is the volume of a cylinder with a radius of 17.8 m17.8m and a length of 6.4 m6.4m?Give your answer to 1 d.p.
What is the volume of a cylinder with a radius of 3 units and a height of 8 units?*72π cubic units24π cubic units36π cubic units
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.