Question: A cone has a base radius of 4 cm and a slant height of 5 cm. What is the lateral surface area of the cone?
Options:
40π cm²
20π cm²
30π cm²
25π cm²
Correct Answer: 40π cm²
Solution:
Lateral Surface Area = πrl = π * 4 * 5 = 20π cm².
A cone has a base radius of 4 cm and a slant height of 5 cm. What is the lateral
Practice Questions
Q1
A cone has a base radius of 4 cm and a slant height of 5 cm. What is the lateral surface area of the cone?
40π cm²
20π cm²
30π cm²
25π cm²
Questions & Step-by-Step Solutions
A cone has a base radius of 4 cm and a slant height of 5 cm. What is the lateral surface area of the cone?
Step 1: Identify the formula for the lateral surface area of a cone, which is Lateral Surface Area = πrl, where r is the base radius and l is the slant height.
Step 2: Substitute the values into the formula. Here, the base radius (r) is 4 cm and the slant height (l) is 5 cm.
Step 3: Calculate the product of r and l. So, 4 cm * 5 cm = 20 cm².
Step 4: Multiply the result by π. Therefore, Lateral Surface Area = 20 cm² * π = 20π cm².
Lateral Surface Area of a Cone – The lateral surface area of a cone is calculated using the formula A = πrl, where r is the base radius and l is the slant height.
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