﻿ Surface Area and Volume Worksheets | Problems & Solutions

# Surface Area and Volume Worksheets

Surface Area and Volume Worksheets
• Page 1
1.
The diameter of an ice cream cone is 6 cm and the slant height is 11 cm. What is the surface area of the cone? Use π = 3.14.
 a. 131.88 cm2 b. 138.28 cm2 c. 135.88 cm2 d. 127.88 cm2

2.
If a solid sphere of radius $r$ is cut into two equal parts, then what will be the change in surface area?
 a. increases by 2π$r$2 b. no change c. increases by 3π$r$2 d. increases by π$r$2

3.
A sphere and cone have equal radii and equal volume. Find the relation between the radius ($r$) and the height ($h$) of the cone.
 a. $h$ = 3$r$ b. $h$ = 2$r$ c. $h$ = $r$ d. $h$ = 4$r$

4.
The surface area of the sphere is 900$\pi$ cm2. Find the radius of the sphere.
 a. 15 cm b. 19 cm c. 17 cm d. 13 cm

5.
What is the surface area of a sphere, if the diameter of the sphere is 14 cm?
 a. 615.44 cm2 b. 620.44 cm2 c. 610.44 cm2 d. 605.44 cm2

6.
What is the surface area of a sphere with radius 7 in.?
[Use $\pi$ = 3.14.]
 a. 610.44 in.2 b. 605.44 in.2 c. 615.44 in.2 d. 620.44 in.2

7.
What is the volume of a cone, if its radius is 9 cm and its curved surface area is 423.9 cm2? (Round the answer to the nearest whole number.)
 a. 1014 cm3 b. 1017 cm3 c. 1025 cm3 d. 1022 cm3

8.
Base radius of a cone is 6 in. and its height is 22.5 in. If the height and the radius of the cone are doubled, then find the volume of the new cone.
 a. 6782.4 in3 b. 3391.2 in3 c. 20347.2 in3 d. 2260.8 in3

9.
The radius of the base of a right circular cone is 3$r$ mm and its height is equal to the radius of the base. Find its volume in mm3.
 a. 4π$r$3mm3 b. 11π$r$3mm3 c. 9π$r$3 mm3 d. 14π$r$3 mm3